3404609300664 has 384 divisors, whose sum is σ = 11022774497280. Its totient is φ = 935676748800.

The previous prime is 3404609300657. The next prime is 3404609300707. The reversal of 3404609300664 is 4660039064043.

3404609300664 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 609 + 30 + 0 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×3404609300664² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 682694379 + ... + 682699365.

It is an arithmetic number, because the mean of its divisors is an integer number (28705141920).

Almost surely, 2^{3404609300664} 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 3404609300664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5511387248640).

3404609300664 is an abundant number, since it is smaller than the sum of its proper divisors (7618165196616).

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

3404609300664 is a wasteful number, since it uses less digits than its factorization.

3404609300664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6171 (or 6164 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 3404609300664 in words is "three trillion, four hundred four billion, six hundred nine million, three hundred thousand, six hundred sixty-four".