34385712014400 has 168 divisors, whose sum is σ = 113176540386624. Its totient is φ = 9140038809600.

The previous prime is 34385712014359. The next prime is 34385712014461. The reversal of 34385712014400 is 441021758343.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10024387 + ... + 13009986.

Almost surely, 2^{34385712014400} is an apocalyptic number.

34385712014400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34385712014400 is an abundant number, since it is smaller than the sum of its proper divisors (78790828372224).

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

34385712014400 is a wasteful number, since it uses less digits than its factorization.

34385712014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23034709 (or 23034694 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 34385712014400 in words is "thirty-four trillion, three hundred eighty-five billion, seven hundred twelve million, fourteen thousand, four hundred".