34354756368 has 320 divisors, whose sum is σ = 106193203200. Its totient is φ = 10601902080.

The previous prime is 34354756351. The next prime is 34354756379. The reversal of 34354756368 is 86365745343.

34354756368 is a `hidden beast` number, since 3 + 4 + 35 + 47 + 563 + 6 + 8 = 666.

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, 97322080 + ... + 97322432.

It is an arithmetic number, because the mean of its divisors is an integer number (331853760).

Almost surely, 2^34354756368 is an apocalyptic number.

34354756368 is a gapful number since it is divisible by the number (38) 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 34354756368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53096601600).

34354756368 is an abundant number, since it is smaller than the sum of its proper divisors (71838446832).

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

34354756368 is a wasteful number, since it uses less digits than its factorization.

34354756368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 615 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 54.

The spelling of 34354756368 in words is "thirty-four billion, three hundred fifty-four million, seven hundred fifty-six thousand, three hundred sixty-eight".