34752976128 has 540 divisors, whose sum is σ = 115142182848. Its totient is φ = 10416107520.

The previous prime is 34752976117. The next prime is 34752976187. The reversal of 34752976128 is 82167925743.

It is a happy number.

34752976128 is a `hidden beast` number, since 3 + 47 + 529 + 76 + 1 + 2 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 164705943 + ... + 164706153.

Almost surely, 2^34752976128 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 34752976128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57571091424).

34752976128 is an abundant number, since it is smaller than the sum of its proper divisors (80389206720).

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

34752976128 is a wasteful number, since it uses less digits than its factorization.

34752976128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 276 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 34752976128 in words is "thirty-four billion, seven hundred fifty-two million, nine hundred seventy-six thousand, one hundred twenty-eight".