34715304960 has 704 divisors, whose sum is σ = 132559134720. Its totient is φ = 7591034880.

The previous prime is 34715304919. The next prime is 34715304961. The reversal of 34715304960 is 6940351743.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (34715304961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 439434201 + ... + 439434279.

Almost surely, 2^34715304960 is an apocalyptic number.

34715304960 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 34715304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66279567360).

34715304960 is an abundant number, since it is smaller than the sum of its proper divisors (97843829760).

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

34715304960 is a wasteful number, since it uses less digits than its factorization.

34715304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 34715304960 in words is "thirty-four billion, seven hundred fifteen million, three hundred four thousand, nine hundred sixty".