34045977290400 has 324 divisors, whose sum is σ = 126705862989342. Its totient is φ = 8601088343040.

The previous prime is 34045977290389. The next prime is 34045977290489. The reversal of 34045977290400 is 409277954043.

34045977290400 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 597 + 7 + 2 + 9 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 24471977911056 + 9573999379344 = 4946916^2 + 3094188^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3950119 + ... + 9148518.

Almost surely, 2^{34045977290400} is an apocalyptic number.

34045977290400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34045977290400 is an abundant number, since it is smaller than the sum of its proper divisors (92659885698942).

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

34045977290400 is a wasteful number, since it uses less digits than its factorization.

34045977290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13098701 (or 13098666 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 34045977290400 in words is "thirty-four trillion, forty-five billion, nine hundred seventy-seven million, two hundred ninety thousand, four hundred".