3165224832 has 384 divisors, whose sum is σ = 12029472000. Its totient is φ = 773406720.

The previous prime is 3165224827. The next prime is 3165224857. The reversal of 3165224832 is 2384225613.

It is a tau number, because it is divible by the number of its divisors (384).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1506919 + ... + 1509017.

It is an arithmetic number, because the mean of its divisors is an integer number (31326750).

Almost surely, 2^3165224832 is an apocalyptic number.

3165224832 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 3165224832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014736000).

3165224832 is an abundant number, since it is smaller than the sum of its proper divisors (8864247168).

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

3165224832 is a wasteful number, since it uses less digits than its factorization.

3165224832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2139 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 3165224832 is about 56260.3308913128. The cubic root of 3165224832 is about 1468.2551113681.

The spelling of 3165224832 in words is "three billion, one hundred sixty-five million, two hundred twenty-four thousand, eight hundred thirty-two".