34166405504 has 64 divisors (see below), whose sum is σ = 84861388800. Its totient is φ = 13311582720.

The previous prime is 34166405491. The next prime is 34166405527. The reversal of 34166405504 is 40550466143.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×34166405504² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1723424 + ... + 1743135.

It is an arithmetic number, because the mean of its divisors is an integer number (1325959200).

Almost surely, 2^34166405504 is an apocalyptic number.

It is an amenable number.

34166405504 is an abundant number, since it is smaller than the sum of its proper divisors (50694983296).

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

34166405504 is a wasteful number, since it uses less digits than its factorization.

34166405504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466591 (or 3466579 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 34166405504 in words is "thirty-four billion, one hundred sixty-six million, four hundred five thousand, five hundred four".