34104102400 has 240 divisors, whose sum is σ = 87460902144. Its totient is φ = 13171220480.

The previous prime is 34104102391. The next prime is 34104102511. The reversal of 34104102400 is 420140143.

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, 49932459 + ... + 49933141.

Almost surely, 2^34104102400 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 34104102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43730451072).

34104102400 is an abundant number, since it is smaller than the sum of its proper divisors (53356799744).

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

34104102400 is an equidigital number, since it uses as much as digits as its factorization.

34104102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 34104102400 its reverse (420140143), we get a palindrome (34524242543).

The spelling of 34104102400 in words is "thirty-four billion, one hundred four million, one hundred two thousand, four hundred".