34074642400 has 36 divisors (see below), whose sum is σ = 83184722712. Its totient is φ = 13629856640.

The previous prime is 34074642361. The next prime is 34074642421. The reversal of 34074642400 is 424647043.

It is a super-2 number, since 2×34074642400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21295852 + ... + 21297451.

It is an arithmetic number, because the mean of its divisors is an integer number (2310686742).

Almost surely, 2^34074642400 is an apocalyptic number.

It is an amenable number.

34074642400 is an abundant number, since it is smaller than the sum of its proper divisors (49110080312).

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

34074642400 is a wasteful number, since it uses less digits than its factorization.

34074642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42593323 (or 42593310 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 34.

The spelling of 34074642400 in words is "thirty-four billion, seventy-four million, six hundred forty-two thousand, four hundred".