34703920944 has 720 divisors, whose sum is σ = 129666700800. Its totient is φ = 8463882240.

The previous prime is 34703920939. The next prime is 34703920961. The reversal of 34703920944 is 44902930743.

34703920944 is a `hidden beast` number, since 3 + 470 + 3 + 92 + 0 + 94 + 4 = 666.

It is a super-2 number, since 2×34703920944² (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 34703920944.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 249668427 + ... + 249668565.

It is an arithmetic number, because the mean of its divisors is an integer number (180092640).

Almost surely, 2^34703920944 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 34703920944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64833350400).

34703920944 is an abundant number, since it is smaller than the sum of its proper divisors (94962779856).

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

34703920944 is a wasteful number, since it uses less digits than its factorization.

34703920944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 34703920944 in words is "thirty-four billion, seven hundred three million, nine hundred twenty thousand, nine hundred forty-four".