34123636400 has 60 divisors (see below), whose sum is σ = 93693763632. Its totient is φ = 11699531520.

The previous prime is 34123636373. The next prime is 34123636403. The reversal of 34123636400 is 463632143.

It is a super-2 number, since 2×34123636400² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34123636403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6090707 + ... + 6096306.

Almost surely, 2^34123636400 is an apocalyptic number.

It is an amenable number.

34123636400 is an abundant number, since it is smaller than the sum of its proper divisors (59570127232).

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

34123636400 is a wasteful number, since it uses less digits than its factorization.

34123636400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12187038 (or 12187027 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The spelling of 34123636400 in words is "thirty-four billion, one hundred twenty-three million, six hundred thirty-six thousand, four hundred".