34013465360 has 320 divisors, whose sum is σ = 103097401344. Its totient is φ = 10157875200.

The previous prime is 34013465347. The next prime is 34013465399. The reversal of 34013465360 is 6356431043.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 34013465360.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6785255 + ... + 6790265.

Almost surely, 2^34013465360 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 34013465360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51548700672).

34013465360 is an abundant number, since it is smaller than the sum of its proper divisors (69083935984).

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

34013465360 is a wasteful number, since it uses less digits than its factorization.

34013465360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5102 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

The spelling of 34013465360 in words is "thirty-four billion, thirteen million, four hundred sixty-five thousand, three hundred sixty".