34345809177408 has 168 divisors, whose sum is σ = 104653449844320. Its totient is φ = 10738658073600.

The previous prime is 34345809177397. The next prime is 34345809177431. The reversal of 34345809177408 is 80477190854343.

34345809177408 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 58 + 0 + 9 + 177 + 408 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14430910 + ... + 16641597.

Almost surely, 2^{34345809177408} is an apocalyptic number.

34345809177408 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

34345809177408 is an abundant number, since it is smaller than the sum of its proper divisors (70307640666912).

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

34345809177408 is a wasteful number, since it uses less digits than its factorization.

34345809177408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31072645 (or 31072632 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 34345809177408 in words is "thirty-four trillion, three hundred forty-five billion, eight hundred nine million, one hundred seventy-seven thousand, four hundred eight".