3021768960 has 288 divisors, whose sum is σ = 11176919040. Its totient is φ = 681467904.

The previous prime is 3021768923. The next prime is 3021768961. The reversal of 3021768960 is 698671203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3021768961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2122809 + ... + 2124231.

Almost surely, 2^3021768960 is an apocalyptic number.

3021768960 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 3021768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588459520).

3021768960 is an abundant number, since it is smaller than the sum of its proper divisors (8155150080).

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

3021768960 is a wasteful number, since it uses less digits than its factorization.

3021768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 3021768960 is about 54970.6190614586. The cubic root of 3021768960 is about 1445.7296411299.

The spelling of 3021768960 in words is "three billion, twenty-one million, seven hundred sixty-eight thousand, nine hundred sixty".