3034289664 has 240 divisors, whose sum is σ = 10537063680. Its totient is φ = 821145600.

The previous prime is 3034289647. The next prime is 3034289677. The reversal of 3034289664 is 4669824303.

3034289664 is a `hidden beast` number, since 303 + 4 + 289 + 6 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610389 + ... + 615339.

It is an arithmetic number, because the mean of its divisors is an integer number (43904432).

Almost surely, 2^3034289664 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 3034289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5268531840).

3034289664 is an abundant number, since it is smaller than the sum of its proper divisors (7502774016).

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

3034289664 is a wasteful number, since it uses less digits than its factorization.

3034289664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5001 (or 4982 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3034289664 is about 55084.3867534168. The cubic root of 3034289664 is about 1447.7236838317.

The spelling of 3034289664 in words is "three billion, thirty-four million, two hundred eighty-nine thousand, six hundred sixty-four".