3007920 has 80 divisors (see below), whose sum is σ = 9499392. Its totient is φ = 787200.

The previous prime is 3007919. The next prime is 3007937. The reversal of 3007920 is 297003.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19845 + ... + 19995.

Almost surely, 2^3007920 is an apocalyptic number.

3007920 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 3007920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749696).

3007920 is an abundant number, since it is smaller than the sum of its proper divisors (6491472).

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

3007920 is a wasteful number, since it uses less digits than its factorization.

3007920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 3007920 is about 1734.3356076608. The cubic root of 3007920 is about 144.3517634686.

The spelling of 3007920 in words is "three million, seven thousand, nine hundred twenty".