34545468672 has 216 divisors, whose sum is σ = 117017348448. Its totient is φ = 9662976000.

The previous prime is 34545468623. The next prime is 34545468707. The reversal of 34545468672 is 27686454543.

34545468672 is a `hidden beast` number, since 3 + 45 + 454 + 6 + 86 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277047 + ... + 381897.

Almost surely, 2^34545468672 is an apocalyptic number.

34545468672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34545468672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58508674224).

34545468672 is an abundant number, since it is smaller than the sum of its proper divisors (82471879776).

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

34545468672 is a wasteful number, since it uses less digits than its factorization.

34545468672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104897 (or 104880 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 54.

The spelling of 34545468672 in words is "thirty-four billion, five hundred forty-five million, four hundred sixty-eight thousand, six hundred seventy-two".