34407934848 has 288 divisors, whose sum is σ = 119155023000. Its totient is φ = 9491392512.

The previous prime is 34407934807. The next prime is 34407934861. The reversal of 34407934848 is 84843970443.

34407934848 is a `hidden beast` number, since 34 + 40 + 7 + 93 + 484 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 34407934794 and 34407934803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1626483 + ... + 1647501.

Almost surely, 2^34407934848 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 34407934848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59577511500).

34407934848 is an abundant number, since it is smaller than the sum of its proper divisors (84747088152).

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

34407934848 is a wasteful number, since it uses less digits than its factorization.

34407934848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21082 (or 21060 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 34407934848 in words is "thirty-four billion, four hundred seven million, nine hundred thirty-four thousand, eight hundred forty-eight".