34130837664 has 288 divisors, whose sum is σ = 124282843776. Its totient is φ = 8625346560.

The previous prime is 34130837641. The next prime is 34130837677. The reversal of 34130837664 is 46673803143.

It is a tau number, because it is divible by the number of its divisors (288).

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, 799714 + ... + 841310.

It is an arithmetic number, because the mean of its divisors is an integer number (431537652).

Almost surely, 2^34130837664 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 34130837664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62141421888).

34130837664 is an abundant number, since it is smaller than the sum of its proper divisors (90152006112).

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

34130837664 is a wasteful number, since it uses less digits than its factorization.

34130837664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41668 (or 41657 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 34130837664 in words is "thirty-four billion, one hundred thirty million, eight hundred thirty-seven thousand, six hundred sixty-four".