34540900399125 has 160 divisors (see below), whose sum is σ = 66148643658240. Its totient is φ = 17920192464000.

The previous prime is 34540900399097. The next prime is 34540900399133. The reversal of 34540900399125 is 52199300904543.

34540900399125 is a `hidden beast` number, since 3 + 4 + 5 + 40 + 90 + 0 + 399 + 125 = 666.

It is not a de Polignac number, because 34540900399125 - 2³² = 34536605431829 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3510605956 + ... + 3510615794.

It is an arithmetic number, because the mean of its divisors is an integer number (413429022864).

Almost surely, 2^{34540900399125} is an apocalyptic number.

It is an amenable number.

34540900399125 is a deficient number, since it is larger than the sum of its proper divisors (31607743259115).

34540900399125 is an equidigital number, since it uses as much as digits as its factorization.

34540900399125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19274 (or 19255 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 34540900399125 in words is "thirty-four trillion, five hundred forty billion, nine hundred million, three hundred ninety-nine thousand, one hundred twenty-five".