3871365120 has 576 divisors, whose sum is σ = 16282244160. Its totient is φ = 830472192.

The previous prime is 3871365097. The next prime is 3871365131. The reversal of 3871365120 is 215631783.

3871365120 is a `hidden beast` number, since 3 + 8 + 7 + 136 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3871365120² = 29974935784705228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10966864 + ... + 10967216.

It is an arithmetic number, because the mean of its divisors is an integer number (28267785).

Almost surely, 2^3871365120 is an apocalyptic number.

3871365120 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 3871365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8141122080).

3871365120 is an abundant number, since it is smaller than the sum of its proper divisors (12410879040).

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

3871365120 is a wasteful number, since it uses less digits than its factorization.

3871365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3871365120 is about 62220.2950812675. The cubic root of 3871365120 is about 1570.1990524799.

The spelling of 3871365120 in words is "three billion, eight hundred seventy-one million, three hundred sixty-five thousand, one hundred twenty".