34094390400 has 1920 divisors, whose sum is σ = 161611084800. Its totient is φ = 6897623040.

The previous prime is 34094390383. The next prime is 34094390431. The reversal of 34094390400 is 409349043.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×34094390400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 792892779 + ... + 792892821.

It is an arithmetic number, because the mean of its divisors is an integer number (84172440).

Almost surely, 2^34094390400 is an apocalyptic number.

34094390400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34094390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80805542400).

34094390400 is an abundant number, since it is smaller than the sum of its proper divisors (127516694400).

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

34094390400 is a wasteful number, since it uses less digits than its factorization.

34094390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 34094390400 in words is "thirty-four billion, ninety-four million, three hundred ninety thousand, four hundred".