34459568640 has 640 divisors, whose sum is σ = 142110904320. Its totient is φ = 7751614464.

The previous prime is 34459568593. The next prime is 34459568683. The reversal of 34459568640 is 4686595443.

34459568640 is a `hidden beast` number, since 3 + 4 + 4 + 595 + 6 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32416749 + ... + 32417811.

It is an arithmetic number, because the mean of its divisors is an integer number (222048288).

Almost surely, 2^34459568640 is an apocalyptic number.

34459568640 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 34459568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71055452160).

34459568640 is an abundant number, since it is smaller than the sum of its proper divisors (107651335680).

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

34459568640 is a wasteful number, since it uses less digits than its factorization.

34459568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 34459568640 in words is "thirty-four billion, four hundred fifty-nine million, five hundred sixty-eight thousand, six hundred forty".