34165504464 has 160 divisors (see below), whose sum is σ = 108844533504. Its totient is φ = 8992788480.

The previous prime is 34165504397. The next prime is 34165504507. The reversal of 34165504464 is 46440556143.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2268222 + ... + 2283234.

Almost surely, 2^34165504464 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 34165504464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54422266752).

34165504464 is an abundant number, since it is smaller than the sum of its proper divisors (74679029040).

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

34165504464 is a wasteful number, since it uses less digits than its factorization.

34165504464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15565 (or 15559 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 34165504464 in words is "thirty-four billion, one hundred sixty-five million, five hundred four thousand, four hundred sixty-four".