34573972608 has 320 divisors, whose sum is σ = 121652625600. Its totient is φ = 9537067008.

The previous prime is 34573972607. The next prime is 34573972613. The reversal of 34573972608 is 80627937543.

34573972608 is a `hidden beast` number, since 3 + 4 + 573 + 9 + 7 + 2 + 60 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (34573972607) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2096491 + ... + 2112917.

It is an arithmetic number, because the mean of its divisors is an integer number (380164455).

Almost surely, 2^34573972608 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 34573972608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60826312800).

34573972608 is an abundant number, since it is smaller than the sum of its proper divisors (87078652992).

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

34573972608 is a wasteful number, since it uses less digits than its factorization.

34573972608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16489 (or 16468 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 34573972608 in words is "thirty-four billion, five hundred seventy-three million, nine hundred seventy-two thousand, six hundred eight".