34974996966 has 640 divisors, whose sum is σ = 108893030400. Its totient is φ = 8129341440.

The previous prime is 34974996929. The next prime is 34974996967. The reversal of 34974996966 is 66969947943.

34974996966 is a `hidden beast` number, since 3 + 49 + 7 + 499 + 6 + 96 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34974996894 and 34974996903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34974996967) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 392977450 + ... + 392977538.

It is an arithmetic number, because the mean of its divisors is an integer number (170145360).

Almost surely, 2^34974996966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34974996966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54446515200).

34974996966 is an abundant number, since it is smaller than the sum of its proper divisors (73918033434).

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

34974996966 is a wasteful number, since it uses less digits than its factorization.

34974996966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 217 counting only the distinct ones).

The product of its digits is 476171136, while the sum is 72.

The spelling of 34974996966 in words is "thirty-four billion, nine hundred seventy-four million, nine hundred ninety-six thousand, nine hundred sixty-six".