34872591711204 has 81 divisors (see below), whose sum is σ = 95453803495323. Its totient is φ = 10729886491584.

The previous prime is 34872591711161. The next prime is 34872591711239. The reversal of 34872591711204 is 40211719527843.

It is a happy number.

The square root of 34872591711204 is 5905302.

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

34872591711204 is a `hidden beast` number, since 3 + 48 + 7 + 2 + 591 + 7 + 1 + 1 + 2 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1771568100 + 34870820143104 = 42090^2 + 5905152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 460575702 + ... + 460651410.

Almost surely, 2^{34872591711204} is an apocalyptic number.

34872591711204 is the 5905302-nd square number.

It is an amenable number.

34872591711204 is an abundant number, since it is smaller than the sum of its proper divisors (60581211784119).

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

34872591711204 is an frugal number, since it uses more digits than its factorization.

34872591711204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151454 (or 75727 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 34872591711204 in words is "thirty-four trillion, eight hundred seventy-two billion, five hundred ninety-one million, seven hundred eleven thousand, two hundred four".