34632094179408 has 640 divisors, whose sum is σ = 105931139973120. Its totient is φ = 9648059904000.

The previous prime is 34632094179391. The next prime is 34632094179413. The reversal of 34632094179408 is 80497149023643.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10359583785 + ... + 10359587127.

It is an arithmetic number, because the mean of its divisors is an integer number (165517406208).

Almost surely, 2^{34632094179408} 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 34632094179408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52965569986560).

34632094179408 is an abundant number, since it is smaller than the sum of its proper divisors (71299045793712).

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

34632094179408 is a wasteful number, since it uses less digits than its factorization.

34632094179408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 34632094179408 in words is "thirty-four trillion, six hundred thirty-two billion, ninety-four million, one hundred seventy-nine thousand, four hundred eight".