34992256680 has 192 divisors, whose sum is σ = 126752558400. Its totient is φ = 8320112640.

The previous prime is 34992256643. The next prime is 34992256693. The reversal of 34992256680 is 8665229943.

It is a happy number.

34992256680 is a `hidden beast` number, since 3 + 499 + 22 + 56 + 6 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34186 + ... + 266745.

It is an arithmetic number, because the mean of its divisors is an integer number (660169575).

Almost surely, 2^34992256680 is an apocalyptic number.

34992256680 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 34992256680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63376279200).

34992256680 is an abundant number, since it is smaller than the sum of its proper divisors (91760301720).

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

34992256680 is a wasteful number, since it uses less digits than its factorization.

34992256680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300984 (or 300977 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 34992256680 in words is "thirty-four billion, nine hundred ninety-two million, two hundred fifty-six thousand, six hundred eighty".