34123030400 has 96 divisors (see below), whose sum is σ = 84459865800. Its totient is φ = 13622446080.

The previous prime is 34123030367. The next prime is 34123030441. The reversal of 34123030400 is 403032143.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1663406 + ... + 1683794.

Almost surely, 2^34123030400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34123030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42229932900).

34123030400 is an abundant number, since it is smaller than the sum of its proper divisors (50336835400).

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

34123030400 is a wasteful number, since it uses less digits than its factorization.

34123030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20936 (or 20919 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 34123030400 its reverse (403032143), we get a palindrome (34526062543).

The spelling of 34123030400 in words is "thirty-four billion, one hundred twenty-three million, thirty thousand, four hundred".