3242125231504 has 40 divisors (see below), whose sum is σ = 6880473695160. Its totient is φ = 1473095436288.

The previous prime is 3242125231489. The next prime is 3242125231561. The reversal of 3242125231504 is 4051325212423.

3242125231504 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 1051962025104 + 2190163206400 = 1025652^2 + 1479920^2 .

It is a super-2 number, since 2×3242125231504² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 3242125231504.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205502079 + ... + 205517854.

It is an arithmetic number, because the mean of its divisors is an integer number (172011842379).

Almost surely, 2^{3242125231504} is an apocalyptic number.

3242125231504 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3242125231504 is an abundant number, since it is smaller than the sum of its proper divisors (3638348463656).

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

3242125231504 is a wasteful number, since it uses less digits than its factorization.

3242125231504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411019987 (or 411019981 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 3242125231504 in words is "three trillion, two hundred forty-two billion, one hundred twenty-five million, two hundred thirty-one thousand, five hundred four".