3887424 has 84 divisors (see below), whose sum is σ = 11827764. Its totient is φ = 1216512.

The previous prime is 3887399. The next prime is 3887449. The reversal of 3887424 is 4247883.

It is an interprime number because it is at equal distance from previous prime (3887399) and next prime (3887449).

It can be written as a sum of positive squares in 2 ways, for example, as 2822400 + 1065024 = 1680^2 + 1032^2 .

It is a super-2 number, since 2×3887424² = 30224130711552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9594 + ... + 9990.

Almost surely, 2^3887424 is an apocalyptic number.

3887424 is a gapful number since it is divisible by the number (34) 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 3887424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913882).

3887424 is an abundant number, since it is smaller than the sum of its proper divisors (7940340).

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

3887424 is a wasteful number, since it uses less digits than its factorization.

3887424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 419 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 3887424 is about 1971.6551422599. The cubic root of 3887424 is about 157.2367181094.

The spelling of 3887424 in words is "three million, eight hundred eighty-seven thousand, four hundred twenty-four".