3932800 has 48 divisors (see below), whose sum is σ = 9723150. Its totient is φ = 1571840.

The previous prime is 3932783. The next prime is 3932801. The reversal of 3932800 is 82393.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3779136 + 153664 = 1944^2 + 392^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (3932801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2586 + ... + 3814.

Almost surely, 2^3932800 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 3932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861575).

3932800 is an abundant number, since it is smaller than the sum of its proper divisors (5790350).

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

3932800 is a wasteful number, since it uses less digits than its factorization.

3932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 3932800 is about 1983.1288409985. The cubic root of 3932800 is about 157.8461355290.

It can be divided in two parts, 39 and 32800, that multiplied together give a triangular number (1279200 = T₁₅₉₉).

The spelling of 3932800 in words is "three million, nine hundred thirty-two thousand, eight hundred".