3138529603680 has 72 divisors (see below), whose sum is σ = 10710232277472. Its totient is φ = 836941227264.

The previous prime is 3138529603679. The next prime is 3138529603687. The reversal of 3138529603680 is 863069258313.

It is a happy number.

3138529603680 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 5 + 29 + 603 + 6 + 8 + 0 = 666.

3138529603680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3138529603687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1089765784 + ... + 1089768663.

It is an arithmetic number, because the mean of its divisors is an integer number (148753226076).

Almost surely, 2^{3138529603680} is an apocalyptic number.

3138529603680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3138529603680 is an abundant number, since it is smaller than the sum of its proper divisors (7571702673792).

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

3138529603680 is a wasteful number, since it uses less digits than its factorization.

3138529603680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179534468 (or 2179534457 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 3138529603680 in words is "three trillion, one hundred thirty-eight billion, five hundred twenty-nine million, six hundred three thousand, six hundred eighty".