34799966557408 has 576 divisors, whose sum is σ = 82255339192320. Its totient is φ = 14386246963200.

The previous prime is 34799966557399. The next prime is 34799966557513. The reversal of 34799966557408 is 80475566999743.

It is a super-2 number, since 2×34799966557408² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41978246338 + ... + 41978247166.

It is an arithmetic number, because the mean of its divisors is an integer number (142804408320).

Almost surely, 2^{34799966557408} is an apocalyptic number.

34799966557408 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34799966557408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41127669596160).

34799966557408 is an abundant number, since it is smaller than the sum of its proper divisors (47455372634912).

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

34799966557408 is a wasteful number, since it uses less digits than its factorization.

34799966557408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 12345177600, while the sum is 82.

The spelling of 34799966557408 in words is "thirty-four trillion, seven hundred ninety-nine billion, nine hundred sixty-six million, five hundred fifty-seven thousand, four hundred eight".