3129135040720 has 40 divisors (see below), whose sum is σ = 7834872739176. Its totient is φ = 1155372937728.

The previous prime is 3129135040679. The next prime is 3129135040723. The reversal of 3129135040720 is 270405319213.

3129135040720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 503412954256 + 2625722086464 = 709516^2 + 1620408^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3129135040720² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3129135040720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3129135040723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1504390807 + ... + 1504392886.

Almost surely, 2^{3129135040720} is an apocalyptic number.

It is an amenable number.

3129135040720 is an abundant number, since it is smaller than the sum of its proper divisors (4705737698456).

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

3129135040720 is a wasteful number, since it uses less digits than its factorization.

3129135040720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008783719 (or 3008783713 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 3129135040720 in words is "three trillion, one hundred twenty-nine billion, one hundred thirty-five million, forty thousand, seven hundred twenty".