3920800 has 108 divisors (see below), whose sum is σ = 10721970. Its totient is φ = 1397760.

The previous prime is 3920797. The next prime is 3920843. The reversal of 3920800 is 80293.

It can be written as a sum of positive squares in 9 ways, for example, as 63504 + 3857296 = 252^2 + 1964^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 135186 + ... + 135214.

Almost surely, 2^3920800 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 3920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5360985).

3920800 is an abundant number, since it is smaller than the sum of its proper divisors (6801170).

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

3920800 is a wasteful number, since it uses less digits than its factorization.

3920800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 3920800 is about 1980.1010075246. The cubic root of 3920800 is about 157.6854287028.

The spelling of 3920800 in words is "three million, nine hundred twenty thousand, eight hundred".