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3868161840 = 243255779311
BaseRepresentation
bin1110011010001111…
…0111011100110000
3100222120121222111100
43212203313130300
530410222134330
61435500044400
7164566555524
oct34643673460
910876558440
103868161840
111705527274
128bb533700
1349851137a
14289a35d84
151798d2060
hexe68f7730

3868161840 has 120 divisors (see below), whose sum is σ = 13014488448. Its totient is φ = 1029611520.

The previous prime is 3868161799. The next prime is 3868161859. The reversal of 3868161840 is 481618683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410785 + ... + 420095.

Almost surely, 23868161840 is an apocalyptic number.

3868161840 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 3868161840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6507244224).

3868161840 is an abundant number, since it is smaller than the sum of its proper divisors (9146326608).

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

3868161840 is a wasteful number, since it uses less digits than its factorization.

3868161840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9907 (or 9898 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 3868161840 is about 62194.5483141408. The cubic root of 3868161840 is about 1569.7658568700.

The spelling of 3868161840 in words is "three billion, eight hundred sixty-eight million, one hundred sixty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 577 720 1154 1731 2308 2885 3462 4616 5193 5770 6924 8655 9232 9311 10386 11540 13848 17310 18622 20772 23080 25965 27696 27933 34620 37244 41544 46160 46555 51930 55866 69240 74488 83088 83799 93110 103860 111732 138480 139665 148976 167598 186220 207720 223464 279330 335196 372440 415440 418995 446928 558660 670392 744880 837990 1117320 1340784 1675980 2234640 3351960 5372447 6703920 10744894 16117341 21489788 26862235 32234682 42979576 48352023 53724470 64469364 80586705 85959152 96704046 107448940 128938728 161173410 193408092 214897880 241760115 257877456 322346820 386816184 429795760 483520230 644693640 773632368 967040460 1289387280 1934080920 3868161840