3165978816 has 1008 divisors, whose sum is σ = 13624316160. Its totient is φ = 676823040.

The previous prime is 3165978791. The next prime is 3165978817. The reversal of 3165978816 is 6188795613.

3165978816 is a `hidden beast` number, since 31 + 6 + 597 + 8 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

Its product of digits (2177280) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (3165978817) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 166630455 + ... + 166630473.

Almost surely, 2^3165978816 is an apocalyptic number.

3165978816 is a gapful number since it is divisible by the number (36) 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 3165978816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812158080).

3165978816 is an abundant number, since it is smaller than the sum of its proper divisors (10458337344).

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

3165978816 is a wasteful number, since it uses less digits than its factorization.

3165978816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 3165978816 is about 56267.0313416302. The cubic root of 3165978816 is about 1468.3716858118.

The spelling of 3165978816 in words is "three billion, one hundred sixty-five million, nine hundred seventy-eight thousand, eight hundred sixteen".