34177680384 has 44 divisors (see below), whose sum is σ = 91095987024. Its totient is φ = 11392559104.

The previous prime is 34177680281. The next prime is 34177680391. The reversal of 34177680384 is 48308677143.

It is a happy number.

It is a super-2 number, since 2×34177680384² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5559702 + ... + 5565845.

Almost surely, 2^34177680384 is an apocalyptic number.

It is an amenable number.

34177680384 is an abundant number, since it is smaller than the sum of its proper divisors (56918306640).

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

34177680384 is a wasteful number, since it uses less digits than its factorization.

34177680384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11125570 (or 11125552 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 34177680384 in words is "thirty-four billion, one hundred seventy-seven million, six hundred eighty thousand, three hundred eighty-four".