3998400 has 252 divisors, whose sum is σ = 16157448. Its totient is φ = 860160.

The previous prime is 3998399. The next prime is 3998413. The reversal of 3998400 is 48993.

3998400 = T₃₂₁ + T₃₂₂ + ... + T₃₈₄.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 235192 + ... + 235208.

Almost surely, 2^3998400 is an apocalyptic number.

3998400 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 3998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8078724).

3998400 is an abundant number, since it is smaller than the sum of its proper divisors (12159048).

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

3998400 is a wasteful number, since it uses less digits than its factorization.

3998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 3998400 is about 1999.5999599920. The cubic root of 3998400 is about 158.7189370268.

The spelling of 3998400 in words is "three million, nine hundred ninety-eight thousand, four hundred".