34945460964 has 120 divisors (see below), whose sum is σ = 96056630208. Its totient is φ = 11056668480.

The previous prime is 34945460959. The next prime is 34945460993. The reversal of 34945460964 is 46906454943.

34945460964 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 546 + 0 + 96 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 34945460964.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 958314 + ... + 994110.

Almost surely, 2^34945460964 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 34945460964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48028315104).

34945460964 is an abundant number, since it is smaller than the sum of its proper divisors (61111169244).

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

34945460964 is a wasteful number, since it uses less digits than its factorization.

34945460964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35967 (or 35956 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 34945460964 in words is "thirty-four billion, nine hundred forty-five million, four hundred sixty thousand, nine hundred sixty-four".