34211728656 has 90 divisors (see below), whose sum is σ = 111377236542. Its totient is φ = 9774777600.

The previous prime is 34211728651. The next prime is 34211728657. The reversal of 34211728656 is 65682711243.

34211728656 is a `hidden beast` number, since 3 + 421 + 172 + 8 + 6 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32586026256 + 1625702400 = 180516^2 + 40320^2 .

It is not an unprimeable number, because it can be changed into a prime (34211728651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2417245 + ... + 2431356.

Almost surely, 2^34211728656 is an apocalyptic number.

34211728656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34211728656 is an abundant number, since it is smaller than the sum of its proper divisors (77165507886).

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

34211728656 is a wasteful number, since it uses less digits than its factorization.

34211728656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4848629 (or 4848613 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 34211728656 in words is "thirty-four billion, two hundred eleven million, seven hundred twenty-eight thousand, six hundred fifty-six".