34164064441 has 24 divisors (see below), whose sum is σ = 37898952000. Its totient is φ = 30614283072.

The previous prime is 34164064391. The next prime is 34164064447. The reversal of 34164064441 is 14446046143.

It is not a de Polignac number, because 34164064441 - 2¹⁷ = 34163933369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 34164064441.

It is not an unprimeable number, because it can be changed into a prime (34164064447) 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, 8878780 + ... + 8882626.

It is an arithmetic number, because the mean of its divisors is an integer number (1579123000).

Almost surely, 2^34164064441 is an apocalyptic number.

It is an amenable number.

34164064441 is a deficient number, since it is larger than the sum of its proper divisors (3734887559).

34164064441 is a wasteful number, since it uses less digits than its factorization.

34164064441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4433 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 34164064441 in words is "thirty-four billion, one hundred sixty-four million, sixty-four thousand, four hundred forty-one".