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3973678620 = 2235192383479
BaseRepresentation
bin1110110011011001…
…1000011000011100
3101020221011210022020
43230312120120130
531114230203440
61454145420140
7200320465602
oct35466303034
911227153266
103973678620
11175a04661a
1292a93a650
134b4336c32
14299a61872
15183cc63d0
hexecd9861c

3973678620 has 144 divisors (see below), whose sum is σ = 11797954560. Its totient is φ = 999165312.

The previous prime is 3973678619. The next prime is 3973678627. The reversal of 3973678620 is 268763793.

3973678620 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3973678627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8295541 + ... + 8296019.

It is an arithmetic number, because the mean of its divisors is an integer number (81930240).

Almost surely, 23973678620 is an apocalyptic number.

3973678620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3973678620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898977280).

3973678620 is an abundant number, since it is smaller than the sum of its proper divisors (7824275940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3973678620 is a wasteful number, since it uses less digits than its factorization.

3973678620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The square root of 3973678620 is about 63037.1209685214. The cubic root of 3973678620 is about 1583.9115044045.

The spelling of 3973678620 in words is "three billion, nine hundred seventy-three million, six hundred seventy-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 383 479 570 722 766 958 1083 1140 1149 1437 1444 1532 1805 1915 1916 2166 2298 2395 2874 3610 3830 4332 4596 4790 5415 5745 5748 7185 7220 7277 7660 9101 9580 10830 11490 14370 14554 18202 21660 21831 22980 27303 28740 29108 36385 36404 43662 45505 54606 72770 87324 91010 109155 109212 136515 138263 145540 172919 182020 183457 218310 273030 276526 345838 366914 414789 436620 518757 546060 550371 553052 691315 691676 733828 829578 864595 917285 1037514 1100742 1382630 1659156 1729190 1834570 2073945 2075028 2201484 2593785 2751855 2765260 3458380 3485683 3669140 4147890 5187570 5503710 6971366 8295780 10375140 10457049 11007420 13942732 17428415 20914098 34856830 41828196 52285245 66227977 69713660 104570490 132455954 198683931 209140980 264911908 331139885 397367862 662279770 794735724 993419655 1324559540 1986839310 3973678620