3972800 has 84 divisors (see below), whose sum is σ = 10582656. Its totient is φ = 1459200.

The previous prime is 3972791. The next prime is 3972809. The reversal of 3972800 is 82793.

3972800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3972791) and next prime (3972809).

It is not an unprimeable number, because it can be changed into a prime (3972809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20705 + ... + 20895.

It is an arithmetic number, because the mean of its divisors is an integer number (125984).

Almost surely, 2^3972800 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 3972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291328).

3972800 is an abundant number, since it is smaller than the sum of its proper divisors (6609856).

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

3972800 is a wasteful number, since it uses less digits than its factorization.

3972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 3972800 is about 1993.1884005282. The cubic root of 3972800 is about 158.3794756252.

The spelling of 3972800 in words is "three million, nine hundred seventy-two thousand, eight hundred".