3165138072 has 128 divisors (see below), whose sum is σ = 8981280000. Its totient is φ = 1032507648.

The previous prime is 3165138071. The next prime is 3165138091. The reversal of 3165138072 is 2708315613.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3165138071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3912004 + ... + 3912812.

It is an arithmetic number, because the mean of its divisors is an integer number (70166250).

Almost surely, 2^3165138072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3165138072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4490640000).

3165138072 is an abundant number, since it is smaller than the sum of its proper divisors (5816141928).

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

3165138072 is a wasteful number, since it uses less digits than its factorization.

3165138072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1180 counting only the distinct ones).

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

The square root of 3165138072 is about 56259.5598276417. The cubic root of 3165138072 is about 1468.2416961044.

The spelling of 3165138072 in words is "three billion, one hundred sixty-five million, one hundred thirty-eight thousand, seventy-two".