3165765120 has 480 divisors, whose sum is σ = 13012167168. Its totient is φ = 722608128.

The previous prime is 3165765107. The next prime is 3165765131. The reversal of 3165765120 is 215675613.

3165765120 is a `hidden beast` number, since 3 + 16 + 576 + 51 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3165765120² = 20044137590017228800, which contains 22 as substring.

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, 4354197 + ... + 4354923.

Almost surely, 2^3165765120 is an apocalyptic number.

3165765120 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 3165765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506083584).

3165765120 is an abundant number, since it is smaller than the sum of its proper divisors (9846402048).

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

3165765120 is an frugal number, since it uses more digits than its factorization.

3165765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 3165765120 is about 56265.1323645471. The cubic root of 3165765120 is about 1468.3386478758.

The spelling of 3165765120 in words is "three billion, one hundred sixty-five million, seven hundred sixty-five thousand, one hundred twenty".