34961772672 has 192 divisors, whose sum is σ = 105041079000. Its totient is φ = 11147673600.

The previous prime is 34961772667. The next prime is 34961772709. The reversal of 34961772672 is 27627716943.

34961772672 is a `hidden beast` number, since 3 + 496 + 17 + 72 + 6 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34337572416 + 624200256 = 185304^2 + 24984^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3636672 + ... + 3646272.

Almost surely, 2^34961772672 is an apocalyptic number.

34961772672 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 34961772672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52520539500).

34961772672 is an abundant number, since it is smaller than the sum of its proper divisors (70079306328).

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

34961772672 is a wasteful number, since it uses less digits than its factorization.

34961772672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9759 (or 9744 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 34961772672 in words is "thirty-four billion, nine hundred sixty-one million, seven hundred seventy-two thousand, six hundred seventy-two".