3928800 has 72 divisors (see below), whose sum is σ = 12796056. Its totient is φ = 1047040.

The previous prime is 3928783. The next prime is 3928807. The reversal of 3928800 is 88293.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3928807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1582 + ... + 3218.

It is an arithmetic number, because the mean of its divisors is an integer number (177723).

Almost surely, 2^3928800 is an apocalyptic number.

3928800 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 3928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398028).

3928800 is an abundant number, since it is smaller than the sum of its proper divisors (8867256).

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

3928800 is a wasteful number, since it uses less digits than its factorization.

3928800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 3928800 is about 1982.1200770892. The cubic root of 3928800 is about 157.7926029550.

The spelling of 3928800 in words is "three million, nine hundred twenty-eight thousand, eight hundred".