34561656072 has 80 divisors (see below), whose sum is σ = 96836646060. Its totient is φ = 11516743296.

The previous prime is 34561656029. The next prime is 34561656121. The reversal of 34561656072 is 27065616543.

34561656072 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 16 + 560 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28854457956 + 5707198116 = 169866^2 + 75546^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2505418 + ... + 2519174.

Almost surely, 2^34561656072 is an apocalyptic number.

It is an amenable number.

34561656072 is an abundant number, since it is smaller than the sum of its proper divisors (62274989988).

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

34561656072 is a wasteful number, since it uses less digits than its factorization.

34561656072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17652 (or 17639 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 34561656072 in words is "thirty-four billion, five hundred sixty-one million, six hundred fifty-six thousand, seventy-two".