3990400 has 96 divisors (see below), whose sum is σ = 10434600. Its totient is φ = 1505280.

The previous prime is 3990383. The next prime is 3990419. The reversal of 3990400 is 40993.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92779 + ... + 92821.

Almost surely, 2^3990400 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 3990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217300).

3990400 is an abundant number, since it is smaller than the sum of its proper divisors (6444200).

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

3990400 is a wasteful number, since it uses less digits than its factorization.

3990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 3990400 is about 1997.5985582694. The cubic root of 3990400 is about 158.6130113833.

The spelling of 3990400 in words is "three million, nine hundred ninety thousand, four hundred".