34920034560 has 432 divisors, whose sum is σ = 131077018800. Its totient is φ = 8548515840.

The previous prime is 34920034547. The next prime is 34920034607. The reversal of 34920034560 is 6543002943.

34920034560 is a `hidden beast` number, since 3 + 4 + 92 + 0 + 0 + 3 + 4 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8707129344 + 26212905216 = 93312^2 + 161904^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 8027266 + ... + 8031614.

It is an arithmetic number, because the mean of its divisors is an integer number (303419025).

Almost surely, 2^34920034560 is an apocalyptic number.

34920034560 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 34920034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65538509400).

34920034560 is an abundant number, since it is smaller than the sum of its proper divisors (96156984240).

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

34920034560 is a wasteful number, since it uses less digits than its factorization.

34920034560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434 (or 4417 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 34920034560 in words is "thirty-four billion, nine hundred twenty million, thirty-four thousand, five hundred sixty".