3135908952 has 128 divisors (see below), whose sum is σ = 9759859200. Its totient is φ = 924566400.

The previous prime is 3135908947. The next prime is 3135908953. The reversal of 3135908952 is 2598095313.

3135908952 is a `hidden beast` number, since 3 + 1 + 3 + 590 + 8 + 9 + 52 = 666.

3135908952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3135908898 and 3135908907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135908953) 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, 70077 + ... + 105747.

It is an arithmetic number, because the mean of its divisors is an integer number (76248900).

Almost surely, 2^3135908952 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 3135908952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4879929600).

3135908952 is an abundant number, since it is smaller than the sum of its proper divisors (6623950248).

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

3135908952 is a wasteful number, since it uses less digits than its factorization.

3135908952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35734 (or 35724 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 3135908952 is about 55999.1870655280. The cubic root of 3135908952 is about 1463.7081183761.

The spelling of 3135908952 in words is "three billion, one hundred thirty-five million, nine hundred eight thousand, nine hundred fifty-two".