34356550400 has 108 divisors (see below), whose sum is σ = 86643173232. Its totient is φ = 13483192320.

The previous prime is 34356550399. The next prime is 34356550427. The reversal of 34356550400 is 405565343.

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, 288557 + ... + 389843.

It is an arithmetic number, because the mean of its divisors is an integer number (802251604).

Almost surely, 2^34356550400 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 34356550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43321586616).

34356550400 is an abundant number, since it is smaller than the sum of its proper divisors (52286622832).

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

34356550400 is a wasteful number, since it uses less digits than its factorization.

34356550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101366 (or 101347 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The spelling of 34356550400 in words is "thirty-four billion, three hundred fifty-six million, five hundred fifty thousand, four hundred".