3882816 has 140 divisors (see below), whose sum is σ = 13277088. Its totient is φ = 1099008.

The previous prime is 3882799. The next prime is 3882841. The reversal of 3882816 is 6182883.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36235 + ... + 36341.

Almost surely, 2^3882816 is an apocalyptic number.

3882816 is a gapful number since it is divisible by the number (36) 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 3882816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6638544).

3882816 is an abundant number, since it is smaller than the sum of its proper divisors (9394272).

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

3882816 is a wasteful number, since it uses less digits than its factorization.

3882816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 3882816 is about 1970.4862344102. The cubic root of 3882816 is about 157.1745661317.

The spelling of 3882816 in words is "three million, eight hundred eighty-two thousand, eight hundred sixteen".