34800254736 has 160 divisors (see below), whose sum is σ = 106046962560. Its totient is φ = 9730301952.

The previous prime is 34800254693. The next prime is 34800254773. The reversal of 34800254736 is 63745200843.

It is a super-2 number, since 2×34800254736² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251071 + ... + 364193.

It is an arithmetic number, because the mean of its divisors is an integer number (662793516).

Almost surely, 2^34800254736 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 34800254736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53023481280).

34800254736 is an abundant number, since it is smaller than the sum of its proper divisors (71246707824).

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

34800254736 is a wasteful number, since it uses less digits than its factorization.

34800254736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113193 (or 113187 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 34800254736 in words is "thirty-four billion, eight hundred million, two hundred fifty-four thousand, seven hundred thirty-six".