34240868976672 has 72 divisors (see below), whose sum is σ = 97382363747760. Its totient is φ = 11412463420800.

The previous prime is 34240868976667. The next prime is 34240868976673. The reversal of 34240868976672 is 27667986804243.

It is a happy number.

34240868976672 is a `hidden beast` number, since 3 + 4 + 2 + 408 + 6 + 8 + 97 + 66 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 34240868976672.

It is not an unprimeable number, because it can be changed into a prime (34240868976673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3197422 + ... + 8871597.

It is an arithmetic number, because the mean of its divisors is an integer number (1352532829830).

Almost surely, 2^{34240868976672} is an apocalyptic number.

34240868976672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34240868976672 is an abundant number, since it is smaller than the sum of its proper divisors (63141494771088).

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

34240868976672 is a wasteful number, since it uses less digits than its factorization.

34240868976672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12078886 (or 12078875 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 34240868976672 in words is "thirty-four trillion, two hundred forty billion, eight hundred sixty-eight million, nine hundred seventy-six thousand, six hundred seventy-two".