3980800 has 60 divisors (see below), whose sum is σ = 9894456. Its totient is φ = 1587200.

The previous prime is 3980761. The next prime is 3980819. The reversal of 3980800 is 80893.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12645 + ... + 12955.

Almost surely, 2^3980800 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 3980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947228).

3980800 is an abundant number, since it is smaller than the sum of its proper divisors (5913656).

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

3980800 is an equidigital number, since it uses as much as digits as its factorization.

3980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 3980800 is about 1995.1942261344. The cubic root of 3980800 is about 158.4857135667.

The spelling of 3980800 in words is "three million, nine hundred eighty thousand, eight hundred".