3135920512 has 128 divisors (see below), whose sum is σ = 6807398400. Its totient is φ = 1434101760.

The previous prime is 3135920509. The next prime is 3135920551. The reversal of 3135920512 is 2150295313.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16418337 + ... + 16418527.

It is an arithmetic number, because the mean of its divisors is an integer number (53182800).

Almost surely, 2^3135920512 is an apocalyptic number.

3135920512 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 3135920512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403699200).

3135920512 is an abundant number, since it is smaller than the sum of its proper divisors (3671477888).

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

3135920512 is a wasteful number, since it uses less digits than its factorization.

3135920512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 3135920512 is about 55999.2902812170. The cubic root of 3135920512 is about 1463.7099169450.

The spelling of 3135920512 in words is "three billion, one hundred thirty-five million, nine hundred twenty thousand, five hundred twelve".