3003916864 has 189 divisors, whose sum is σ = 7085042091. Its totient is φ = 1262776320.

The previous prime is 3003916841. The next prime is 3003916901. The reversal of 3003916864 is 4686193003.

The square root of 3003916864 is 54808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 27123264 + 2976793600 = 5208^2 + 54560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 96900529 + ... + 96900559.

Almost surely, 2^3003916864 is an apocalyptic number.

3003916864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3003916864 is the 54808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3003916864

3003916864 is an abundant number, since it is smaller than the sum of its proper divisors (4081125227).

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

3003916864 is a wasteful number, since it uses less digits than its factorization.

3003916864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The cubic root of 3003916864 is about 1442.8769746048.

The spelling of 3003916864 in words is "three billion, three million, nine hundred sixteen thousand, eight hundred sixty-four".