3004001664 has 64 divisors (see below), whose sum is σ = 8326333440. Its totient is φ = 957794816.

The previous prime is 3004001659. The next prime is 3004001717. The reversal of 3004001664 is 4661004003.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161232 + ... + 178895.

It is an arithmetic number, because the mean of its divisors is an integer number (130098960).

Almost surely, 2^3004001664 is an apocalyptic number.

It is an amenable number.

3004001664 is an abundant number, since it is smaller than the sum of its proper divisors (5322331776).

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

3004001664 is a wasteful number, since it uses less digits than its factorization.

3004001664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340167 (or 340155 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3004001664 is about 54808.7736042324. The cubic root of 3004001664 is about 1442.8905518576.

Adding to 3004001664 its reverse (4661004003), we get a palindrome (7665005667).

The spelling of 3004001664 in words is "three billion, four million, one thousand, six hundred sixty-four".