34119979245432 has 224 divisors, whose sum is σ = 96228713318400. Its totient is φ = 11336583915072.

The previous prime is 34119979245379. The next prime is 34119979245511. The reversal of 34119979245432 is 23454297991143.

34119979245432 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 9 + 97 + 92 + 454 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34119979245432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7292149669 + ... + 7292154347.

Almost surely, 2^{34119979245432} 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 34119979245432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48114356659200).

34119979245432 is an abundant number, since it is smaller than the sum of its proper divisors (62108734072968).

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

34119979245432 is a wasteful number, since it uses less digits than its factorization.

34119979245432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8477 (or 8458 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 34119979245432 in words is "thirty-four trillion, one hundred nineteen billion, nine hundred seventy-nine million, two hundred forty-five thousand, four hundred thirty-two".