3889920 has 72 divisors (see below), whose sum is σ = 12435696. Its totient is φ = 1036288.

The previous prime is 3889913. The next prime is 3889933. The reversal of 3889920 is 299883.

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, 3334 + ... + 4346.

It is an arithmetic number, because the mean of its divisors is an integer number (172718).

Almost surely, 2^3889920 is an apocalyptic number.

3889920 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 3889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217848).

3889920 is an abundant number, since it is smaller than the sum of its proper divisors (8545776).

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

3889920 is a wasteful number, since it uses less digits than its factorization.

3889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 3889920 is about 1972.2880114223. The cubic root of 3889920 is about 157.2703632586.

The spelling of 3889920 in words is "three million, eight hundred eighty-nine thousand, nine hundred twenty".