3028868640 has 576 divisors, whose sum is σ = 12680478720. Its totient is φ = 668113920.

The previous prime is 3028868621. The next prime is 3028868651. The reversal of 3028868640 is 468688203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8436781 + ... + 8437139.

It is an arithmetic number, because the mean of its divisors is an integer number (22014720).

Almost surely, 2^3028868640 is an apocalyptic number.

3028868640 is a gapful number since it is divisible by the number (30) 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 3028868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340239360).

3028868640 is an abundant number, since it is smaller than the sum of its proper divisors (9651610080).

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

3028868640 is a wasteful number, since it uses less digits than its factorization.

3028868640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3028868640 is about 55035.1582172705. The cubic root of 3028868640 is about 1446.8610081977.

The spelling of 3028868640 in words is "three billion, twenty-eight million, eight hundred sixty-eight thousand, six hundred forty".