3882780 has 144 divisors (see below), whose sum is σ = 13444704. Its totient is φ = 898560.

The previous prime is 3882773. The next prime is 3882787. The reversal of 3882780 is 872883.

3882780 is a `hidden beast` number, since 388 + 278 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3882773) and next prime (3882787).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3882787) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73234 + ... + 73286.

It is an arithmetic number, because the mean of its divisors is an integer number (93366).

Almost surely, 2^3882780 is an apocalyptic number.

3882780 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 3882780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722352).

3882780 is an abundant number, since it is smaller than the sum of its proper divisors (9561924).

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

3882780 is a wasteful number, since it uses less digits than its factorization.

3882780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3882780 is about 1970.4770995878. The cubic root of 3882780 is about 157.1740803758.

The spelling of 3882780 in words is "three million, eight hundred eighty-two thousand, seven hundred eighty".