34220512656 has 60 divisors (see below), whose sum is σ = 104476266960. Its totient is φ = 10369851840.

The previous prime is 34220512619. The next prime is 34220512687. The reversal of 34220512656 is 65621502243.

34220512656 is a `hidden beast` number, since 342 + 2 + 0 + 51 + 265 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34220512656.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10800346 + ... + 10803513.

It is an arithmetic number, because the mean of its divisors is an integer number (1741271116).

Almost surely, 2^34220512656 is an apocalyptic number.

34220512656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34220512656 is an abundant number, since it is smaller than the sum of its proper divisors (70255754304).

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

34220512656 is a wasteful number, since it uses less digits than its factorization.

34220512656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21603884 (or 21603875 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 34220512656 in words is "thirty-four billion, two hundred twenty million, five hundred twelve thousand, six hundred fifty-six".