34368230400 has 264 divisors, whose sum is σ = 129817792320. Its totient is φ = 7855472640.

The previous prime is 34368230399. The next prime is 34368230417. The reversal of 34368230400 is 403286343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505636 + ... + 569564.

Almost surely, 2^34368230400 is an apocalyptic number.

34368230400 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 34368230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64908896160).

34368230400 is an abundant number, since it is smaller than the sum of its proper divisors (95449561920).

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

34368230400 is a wasteful number, since it uses less digits than its factorization.

34368230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63969 (or 63946 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 34368230400 in words is "thirty-four billion, three hundred sixty-eight million, two hundred thirty thousand, four hundred".