34472587968 has 672 divisors, whose sum is σ = 126213534720. Its totient is φ = 8755568640.

The previous prime is 34472587951. The next prime is 34472587991. The reversal of 34472587968 is 86978527443.

34472587968 is a `hidden beast` number, since 3 + 4 + 47 + 2 + 587 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×34472587968² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219570546 + ... + 219570702.

It is an arithmetic number, because the mean of its divisors is an integer number (187817760).

Almost surely, 2^34472587968 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 34472587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63106767360).

34472587968 is an abundant number, since it is smaller than the sum of its proper divisors (91740946752).

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

34472587968 is a wasteful number, since it uses less digits than its factorization.

34472587968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 312 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 34472587968 in words is "thirty-four billion, four hundred seventy-two million, five hundred eighty-seven thousand, nine hundred sixty-eight".