34496716800 has 672 divisors, whose sum is σ = 140611750272. Its totient is φ = 7266631680.

The previous prime is 34496716783. The next prime is 34496716831. The reversal of 34496716800 is 861769443.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34496716800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55910092 + ... + 55910708.

It is an arithmetic number, because the mean of its divisors is an integer number (209243676).

Almost surely, 2^34496716800 is an apocalyptic number.

34496716800 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 34496716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70305875136).

34496716800 is an abundant number, since it is smaller than the sum of its proper divisors (106115033472).

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

34496716800 is a wasteful number, since it uses less digits than its factorization.

34496716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 34496716800 in words is "thirty-four billion, four hundred ninety-six million, seven hundred sixteen thousand, eight hundred".