34314794800 has 240 divisors, whose sum is σ = 101069031168. Its totient is φ = 11017036800.

The previous prime is 34314794687. The next prime is 34314794809. The reversal of 34314794800 is 849741343.

It is a super-2 number, since 2×34314794800² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34314794809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1302559 + ... + 1328641.

Almost surely, 2^34314794800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34314794800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50534515584).

34314794800 is an abundant number, since it is smaller than the sum of its proper divisors (66754236368).

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

34314794800 is a wasteful number, since it uses less digits than its factorization.

34314794800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26148 (or 26137 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 34314794800 in words is "thirty-four billion, three hundred fourteen million, seven hundred ninety-four thousand, eight hundred".