34297820400 has 60 divisors (see below), whose sum is σ = 109867355192. Its totient is φ = 9146085120.

The previous prime is 34297820387. The next prime is 34297820419. The reversal of 34297820400 is 402879243.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14289559 + ... + 14291958.

Almost surely, 2^34297820400 is an apocalyptic number.

34297820400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34297820400 is an abundant number, since it is smaller than the sum of its proper divisors (75569534792).

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

34297820400 is a wasteful number, since it uses less digits than its factorization.

34297820400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28581538 (or 28581527 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

It can be divided in two parts, 342978 and 20400, that added together give a triangular number (363378 = T₈₅₂).

The spelling of 34297820400 in words is "thirty-four billion, two hundred ninety-seven million, eight hundred twenty thousand, four hundred".