34412770560 has 432 divisors, whose sum is σ = 131331545856. Its totient is φ = 7651639296.

The previous prime is 34412770549. The next prime is 34412770573. The reversal of 34412770560 is 6507721443.

It is a congruent number.

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, 6959449 + ... + 6964391.

It is an arithmetic number, because the mean of its divisors is an integer number (304008208).

Almost surely, 2^34412770560 is an apocalyptic number.

34412770560 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 34412770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65665772928).

34412770560 is an abundant number, since it is smaller than the sum of its proper divisors (96918775296).

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

34412770560 is a wasteful number, since it uses less digits than its factorization.

34412770560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5018 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 34412770560 in words is "thirty-four billion, four hundred twelve million, seven hundred seventy thousand, five hundred sixty".