3074609664 has 600 divisors, whose sum is σ = 11430122220. Its totient is φ = 817496064.

The previous prime is 3074609641. The next prime is 3074609687. The reversal of 3074609664 is 4669064703.

3074609664 is a `hidden beast` number, since 30 + 7 + 4 + 609 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3074609641) and next prime (3074609687).

It can be written as a sum of positive squares in 2 ways, for example, as 3073593600 + 1016064 = 55440^2 + 1008^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 34546132 + ... + 34546220.

Almost surely, 2^3074609664 is an apocalyptic number.

3074609664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3074609664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715061110).

3074609664 is an abundant number, since it is smaller than the sum of its proper divisors (8355512556).

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

3074609664 is an equidigital number, since it uses as much as digits as its factorization.

3074609664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3074609664 is about 55449.1628791635. The cubic root of 3074609664 is about 1454.1079961434.

The spelling of 3074609664 in words is "three billion, seventy-four million, six hundred nine thousand, six hundred sixty-four".