3882900 has 108 divisors (see below), whose sum is σ = 13144992. Its totient is φ = 866880.

The previous prime is 3882899. The next prime is 3882911. The reversal of 3882900 is 92883.

3882900 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90279 + ... + 90321.

Almost surely, 2^3882900 is an apocalyptic number.

3882900 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 3882900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6572496).

3882900 is an abundant number, since it is smaller than the sum of its proper divisors (9262092).

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

3882900 is a wasteful number, since it uses less digits than its factorization.

3882900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 3882900 is about 1970.5075488310. The cubic root of 3882900 is about 157.1756995503.

The spelling of 3882900 in words is "three million, eight hundred eighty-two thousand, nine hundred".