34561904960 has 448 divisors, whose sum is σ = 99102818304. Its totient is φ = 11347353600.

The previous prime is 34561904947. The next prime is 34561904963. The reversal of 34561904960 is 6940916543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34561904963) 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, 117958574 + ... + 117958866.

It is an arithmetic number, because the mean of its divisors is an integer number (221211648).

Almost surely, 2^34561904960 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 34561904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49551409152).

34561904960 is an abundant number, since it is smaller than the sum of its proper divisors (64540913344).

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

34561904960 is a wasteful number, since it uses less digits than its factorization.

34561904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 47.

The spelling of 34561904960 in words is "thirty-four billion, five hundred sixty-one million, nine hundred four thousand, nine hundred sixty".