34664448001 has 8 divisors (see below), whose sum is σ = 35633938664. Its totient is φ = 33696673920.

The previous prime is 34664447977. The next prime is 34664448019. The reversal of 34664448001 is 10084446643.

It can be written as a sum of positive squares in 4 ways, for example, as 10470200976 + 24194247025 = 102324^2 + 155545^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34664448001 - 2¹¹ = 34664445953 is a prime.

It is a super-3 number, since 3×34664448001³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34664448061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388140 + ... + 469021.

It is an arithmetic number, because the mean of its divisors is an integer number (4454242333).

Almost surely, 2^34664448001 is an apocalyptic number.

It is an amenable number.

34664448001 is a deficient number, since it is larger than the sum of its proper divisors (969490663).

34664448001 is a wasteful number, since it uses less digits than its factorization.

34664448001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858291.

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 34664448001 in words is "thirty-four billion, six hundred sixty-four million, four hundred forty-eight thousand, one".