34416136664 has 96 divisors (see below), whose sum is σ = 84355175520. Its totient is φ = 13023166464.

The previous prime is 34416136663. The next prime is 34416136673. The reversal of 34416136664 is 46663161443.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34416136661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29609 + ... + 264024.

It is an arithmetic number, because the mean of its divisors is an integer number (878699745).

Almost surely, 2^34416136664 is an apocalyptic number.

It is an amenable number.

34416136664 is an abundant number, since it is smaller than the sum of its proper divisors (49939038856).

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

34416136664 is a wasteful number, since it uses less digits than its factorization.

34416136664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293689 (or 293678 counting only the distinct ones).

The product of its digits is 746496, while the sum is 44.

The spelling of 34416136664 in words is "thirty-four billion, four hundred sixteen million, one hundred thirty-six thousand, six hundred sixty-four".