3868832 has 48 divisors (see below), whose sum is σ = 8618400. Its totient is φ = 1693440.

The previous prime is 3868817. The next prime is 3868847. The reversal of 3868832 is 2388683.

3868832 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3868817) and next prime (3868847).

It is a super-2 number, since 2×3868832² = 29935722088448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10019 + ... + 10397.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 2^3868832 is an apocalyptic number.

3868832 is a gapful number since it is divisible by the number (32) 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 3868832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309200).

3868832 is an abundant number, since it is smaller than the sum of its proper divisors (4749568).

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

3868832 is a wasteful number, since it uses less digits than its factorization.

3868832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 421 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 3868832 is about 1966.9346710046. The cubic root of 3868832 is about 156.9856505743.

The spelling of 3868832 in words is "three million, eight hundred sixty-eight thousand, eight hundred thirty-two".