3988874400 has 432 divisors, whose sum is σ = 15292833696. Its totient is φ = 900372480.

The previous prime is 3988874387. The next prime is 3988874423. The reversal of 3988874400 is 44788893.

It is a super-2 number, since 2×3988874400² = 31822237957950720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12583042 + ... + 12583358.

It is an arithmetic number, because the mean of its divisors is an integer number (35400078).

Almost surely, 2^3988874400 is an apocalyptic number.

3988874400 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 3988874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7646416848).

3988874400 is an abundant number, since it is smaller than the sum of its proper divisors (11303959296).

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

3988874400 is a wasteful number, since it uses less digits than its factorization.

3988874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The square root of 3988874400 is about 63157.5363674043. The cubic root of 3988874400 is about 1585.9279529350.

The spelling of 3988874400 in words is "three billion, nine hundred eighty-eight million, eight hundred seventy-four thousand, four hundred".