3135431007 has 48 divisors (see below), whose sum is σ = 4719405600. Its totient is φ = 2004480000.

The previous prime is 3135431003. The next prime is 3135431009. The reversal of 3135431007 is 7001345313.

3135431007 is a `hidden beast` number, since 3 + 13 + 543 + 100 + 7 = 666.

It is not a de Polignac number, because 3135431007 - 2² = 3135431003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135431003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8983869 + ... + 8984217.

It is an arithmetic number, because the mean of its divisors is an integer number (98320950).

Almost surely, 2^3135431007 is an apocalyptic number.

3135431007 is a deficient number, since it is larger than the sum of its proper divisors (1583974593).

3135431007 is a wasteful number, since it uses less digits than its factorization.

3135431007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 3135431007 is about 55994.9194748952. The cubic root of 3135431007 is about 1463.6337531728.

The spelling of 3135431007 in words is "three billion, one hundred thirty-five million, four hundred thirty-one thousand, seven".