34779906880992 has 2880 divisors, whose sum is σ = 136769271496704. Its totient is φ = 8473729904640.

The previous prime is 34779906880931. The next prime is 34779906881017. The reversal of 34779906880992 is 29908860997743.

34779906880992 is a `hidden beast` number, since 3 + 477 + 9 + 9 + 0 + 68 + 80 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 273857534433 + ... + 273857534559.

Almost surely, 2^{34779906880992} is an apocalyptic number.

34779906880992 is a gapful number since it is divisible by the number (32) 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 34779906880992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68384635748352).

34779906880992 is an abundant number, since it is smaller than the sum of its proper divisors (101989364615712).

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

34779906880992 is a wasteful number, since it uses less digits than its factorization.

34779906880992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2962842624, while the sum is 81.

The spelling of 34779906880992 in words is "thirty-four trillion, seven hundred seventy-nine billion, nine hundred six million, eight hundred eighty thousand, nine hundred ninety-two".