34409604040900 has 81 divisors (see below), whose sum is σ = 82075554159277. Its totient is φ = 12512348648800.

The previous prime is 34409604040897. The next prime is 34409604040919. The reversal of 34409604040900 is 904040690443.

The square root of 34409604040900 is 5865970.

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

It can be written as a sum of positive squares in only one way, i.e., 12387457454724 + 22022146586176 = 3519582^2 + 4692776^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 645230037 + ... + 645283363.

Almost surely, 2^{34409604040900} is an apocalyptic number.

34409604040900 is the 5865970-th square number.

It is an amenable number.

34409604040900 is an abundant number, since it is smaller than the sum of its proper divisors (47665950118377).

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

34409604040900 is an frugal number, since it uses more digits than its factorization.

34409604040900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106690 (or 53345 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 34409604040900 in words is "thirty-four trillion, four hundred nine billion, six hundred four million, forty thousand, nine hundred".