34230790560 has 96 divisors (see below), whose sum is σ = 108211142592. Its totient is φ = 9095690240.

The previous prime is 34230790549. The next prime is 34230790567. The reversal of 34230790560 is 6509703243.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×34230790560² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34230790567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7987 + ... + 261773.

It is an arithmetic number, because the mean of its divisors is an integer number (1127199402).

Almost surely, 2^34230790560 is an apocalyptic number.

34230790560 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 34230790560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54105571296).

34230790560 is an abundant number, since it is smaller than the sum of its proper divisors (73980352032).

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

34230790560 is a wasteful number, since it uses less digits than its factorization.

34230790560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254086 (or 254078 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The spelling of 34230790560 in words is "thirty-four billion, two hundred thirty million, seven hundred ninety thousand, five hundred sixty".