3135957552 has 320 divisors, whose sum is σ = 11158174720. Its totient is φ = 821145600.

The previous prime is 3135957541. The next prime is 3135957553. The reversal of 3135957552 is 2557595313.

3135957552 is a `hidden beast` number, since 3 + 1 + 3 + 5 + 95 + 7 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3135957498 and 3135957507.

It is not an unprimeable number, because it can be changed into a prime (3135957553) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9474027 + ... + 9474357.

It is an arithmetic number, because the mean of its divisors is an integer number (34869296).

Almost surely, 2^3135957552 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 3135957552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579087360).

3135957552 is an abundant number, since it is smaller than the sum of its proper divisors (8022217168).

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

3135957552 is a wasteful number, since it uses less digits than its factorization.

3135957552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 597 counting only the distinct ones).

The product of its digits is 708750, while the sum is 45.

The square root of 3135957552 is about 55999.6209987175. The cubic root of 3135957552 is about 1463.7156798038.

The spelling of 3135957552 in words is "three billion, one hundred thirty-five million, nine hundred fifty-seven thousand, five hundred fifty-two".