34961140944 has 120 divisors (see below), whose sum is σ = 101994360832. Its totient is φ = 11593082880.

The previous prime is 34961140933. The next prime is 34961140979. The reversal of 34961140944 is 44904116943.

34961140944 is a `hidden beast` number, since 3 + 496 + 114 + 0 + 9 + 44 = 666.

It is a super-2 number, since 2×34961140944² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34961140944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 727089 + ... + 773679.

Almost surely, 2^34961140944 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 34961140944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50997180416).

34961140944 is an abundant number, since it is smaller than the sum of its proper divisors (67033219888).

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

34961140944 is a wasteful number, since it uses less digits than its factorization.

34961140944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46807 (or 46789 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 34961140944 in words is "thirty-four billion, nine hundred sixty-one million, one hundred forty thousand, nine hundred forty-four".