34672960140625 has 105 divisors (see below), whose sum is σ = 46333648191243. Its totient is φ = 25946535600000.

The previous prime is 34672960140617. The next prime is 34672960140629. The reversal of 34672960140625 is 52604106927643.

It is a happy number.

The square root of 34672960140625 is 5888375.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 17 ways, for example, as 22960494307521 + 11712465833104 = 4791711^2 + 3422348^2 .

It is not a de Polignac number, because 34672960140625 - 2³ = 34672960140617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34672960140629) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 212717546794 + ... + 212717546956.

Almost surely, 2^{34672960140625} is an apocalyptic number.

34672960140625 is the 5888375-th square number.

34672960140625 is the 2944188-th centered octagonal number.

It is an amenable number.

34672960140625 is a deficient number, since it is larger than the sum of its proper divisors (11660688050618).

34672960140625 is an frugal number, since it uses more digits than its factorization.

34672960140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 55.

The spelling of 34672960140625 in words is "thirty-four trillion, six hundred seventy-two billion, nine hundred sixty million, one hundred forty thousand, six hundred twenty-five".