34133112400 has 120 divisors (see below), whose sum is σ = 86583486080. Its totient is φ = 12895303680.

The previous prime is 34133112389. The next prime is 34133112401. The reversal of 34133112400 is 421133143.

It is a super-2 number, since 2×34133112400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34133112401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2554537 + ... + 2567863.

Almost surely, 2^34133112400 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 34133112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43291743040).

34133112400 is an abundant number, since it is smaller than the sum of its proper divisors (52450373680).

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

34133112400 is a wasteful number, since it uses less digits than its factorization.

34133112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13701 (or 13690 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 34133112400 its reverse (421133143), we get a palindrome (34554245543).

The spelling of 34133112400 in words is "thirty-four billion, one hundred thirty-three million, one hundred twelve thousand, four hundred".