34725180672 has 864 divisors, whose sum is σ = 135708518400. Its totient is φ = 8277147648.

The previous prime is 34725180661. The next prime is 34725180701. The reversal of 34725180672 is 27608152743.

34725180672 is a `hidden beast` number, since 3 + 4 + 72 + 518 + 0 + 67 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91622979 + ... + 91623357.

Almost surely, 2^34725180672 is an apocalyptic number.

34725180672 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 34725180672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67854259200).

34725180672 is an abundant number, since it is smaller than the sum of its proper divisors (100983337728).

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

34725180672 is a wasteful number, since it uses less digits than its factorization.

34725180672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 34725180672 in words is "thirty-four billion, seven hundred twenty-five million, one hundred eighty thousand, six hundred seventy-two".