3135584052 has 36 divisors (see below), whose sum is σ = 8199374820. Its totient is φ = 1009153152.

The previous prime is 3135584033. The next prime is 3135584069. The reversal of 3135584052 is 2504855313.

3135584052 is a `hidden beast` number, since 3 + 13 + 558 + 40 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2688007716 + 447576336 = 51846^2 + 21156^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 3135583998 and 3135584016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1500673 + ... + 1502760.

Almost surely, 2^3135584052 is an apocalyptic number.

It is an amenable number.

3135584052 is an abundant number, since it is smaller than the sum of its proper divisors (5063790768).

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

3135584052 is a wasteful number, since it uses less digits than its factorization.

3135584052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003472 (or 3003467 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 3135584052 is about 55996.2860554162. The cubic root of 3135584052 is about 1463.6575668242.

The spelling of 3135584052 in words is "three billion, one hundred thirty-five million, five hundred eighty-four thousand, fifty-two".