3164977152 has 120 divisors (see below), whose sum is σ = 9454044600. Its totient is φ = 1054937088.

The previous prime is 3164977141. The next prime is 3164977163. The reversal of 3164977152 is 2517794613.

3164977152 is a `hidden beast` number, since 3 + 1 + 6 + 497 + 7 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (3164977141) and next prime (3164977163).

It is a super-2 number, since 2×3164977152² = 20034160745364062208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3164977098 and 3164977107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 156349 + ... + 175427.

It is an arithmetic number, because the mean of its divisors is an integer number (78783705).

Almost surely, 2^3164977152 is an apocalyptic number.

3164977152 is a gapful number since it is divisible by the number (32) 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 3164977152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727022300).

3164977152 is an abundant number, since it is smaller than the sum of its proper divisors (6289067448).

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

3164977152 is an equidigital number, since it uses as much as digits as its factorization.

3164977152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19113 (or 19084 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 3164977152 is about 56258.1296525222. The cubic root of 3164977152 is about 1468.2168132028.

It can be divided in two parts, 31649 and 77152, that added together give a palindrome (108801).

The spelling of 3164977152 in words is "three billion, one hundred sixty-four million, nine hundred seventy-seven thousand, one hundred fifty-two".