3818880 has 256 divisors, whose sum is σ = 15422400. Its totient is φ = 884736.

The previous prime is 3818879. The next prime is 3818887. The reversal of 3818880 is 888183.

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 (3818887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224632 + ... + 224648.

Almost surely, 2^3818880 is an apocalyptic number.

3818880 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 3818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711200).

3818880 is an abundant number, since it is smaller than the sum of its proper divisors (11603520).

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

3818880 is a wasteful number, since it uses less digits than its factorization.

3818880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 3818880 is about 1954.1954866389. The cubic root of 3818880 is about 156.3070874067.

It can be divided in two parts, 381 and 8880, that added together give a cube (9261 = 21³).

The spelling of 3818880 in words is "three million, eight hundred eighteen thousand, eight hundred eighty".