3887400 has 192 divisors, whose sum is σ = 14284800. Its totient is φ = 864000.

The previous prime is 3887399. The next prime is 3887449. The reversal of 3887400 is 47883.

It is a super-2 number, since 2×3887400² = 30223757520000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125385 + ... + 125415.

It is an arithmetic number, because the mean of its divisors is an integer number (74400).

Almost surely, 2^3887400 is an apocalyptic number.

3887400 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 3887400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142400).

3887400 is an abundant number, since it is smaller than the sum of its proper divisors (10397400).

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

3887400 is a wasteful number, since it uses less digits than its factorization.

3887400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3887400 is about 1971.6490559935. The cubic root of 3887400 is about 157.2363945284.

The spelling of 3887400 in words is "three million, eight hundred eighty-seven thousand, four hundred".