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3721540640 = 255195920749
BaseRepresentation
bin1101110111010010…
…0011010000100000
3100121100201212000112
43131310203100200
530110203300030
61413141310452
7161136400466
oct33564432040
910540655015
103721540640
11163a792624
1287a405428
1347402636c
1427438a836
1516babda95
hexddd23420

3721540640 has 96 divisors (see below), whose sum is σ = 9412200000. Its totient is φ = 1386298368.

The previous prime is 3721540639. The next prime is 3721540649. The reversal of 3721540640 is 460451273.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3721540597 and 3721540606.

It is not an unprimeable number, because it can be changed into a prime (3721540649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168986 + ... + 189734.

It is an arithmetic number, because the mean of its divisors is an integer number (98043750).

Almost surely, 23721540640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3721540640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4706100000).

3721540640 is an abundant number, since it is smaller than the sum of its proper divisors (5690659360).

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

3721540640 is a wasteful number, since it uses less digits than its factorization.

3721540640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20842 (or 20834 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 3721540640 is about 61004.4313144545. The cubic root of 3721540640 is about 1549.6760530080.

The spelling of 3721540640 in words is "three billion, seven hundred twenty-one million, five hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 59 76 80 95 118 152 160 190 236 295 304 380 472 590 608 760 944 1121 1180 1520 1888 2242 2360 3040 4484 4720 5605 8968 9440 11210 17936 20749 22420 35872 41498 44840 82996 89680 103745 165992 179360 207490 331984 394231 414980 663968 788462 829960 1224191 1576924 1659920 1971155 2448382 3153848 3319840 3942310 4896764 6120955 6307696 7884620 9793528 12241910 12615392 15769240 19587056 23259629 24483820 31538480 39174112 46519258 48967640 63076960 93038516 97935280 116298145 186077032 195870560 232596290 372154064 465192580 744308128 930385160 1860770320 3721540640