34674756480 has 512 divisors, whose sum is σ = 151153228800. Its totient is φ = 7315660800.

The previous prime is 34674756451. The next prime is 34674756527. The reversal of 34674756480 is 8465747643.

34674756480 is a `hidden beast` number, since 3 + 4 + 6 + 74 + 7 + 564 + 8 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1561455 + ... + 1583505.

It is an arithmetic number, because the mean of its divisors is an integer number (295221150).

Almost surely, 2^34674756480 is an apocalyptic number.

34674756480 is a gapful number since it is divisible by the number (30) 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 34674756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75576614400).

34674756480 is an abundant number, since it is smaller than the sum of its proper divisors (116478472320).

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

34674756480 is a wasteful number, since it uses less digits than its factorization.

34674756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22099 (or 22081 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 34674756480 in words is "thirty-four billion, six hundred seventy-four million, seven hundred fifty-six thousand, four hundred eighty".