3889680 has 80 divisors (see below), whose sum is σ = 12707520. Its totient is φ = 981504.

The previous prime is 3889679. The next prime is 3889727. The reversal of 3889680 is 869883.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3889680² = 30259221004800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4134 + ... + 4986.

It is an arithmetic number, because the mean of its divisors is an integer number (158844).

Almost surely, 2^3889680 is an apocalyptic number.

3889680 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 3889680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6353760).

3889680 is an abundant number, since it is smaller than the sum of its proper divisors (8817840).

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

3889680 is a wasteful number, since it uses less digits than its factorization.

3889680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 3889680 is about 1972.2271674429. The cubic root of 3889680 is about 157.2671287736.

The spelling of 3889680 in words is "three million, eight hundred eighty-nine thousand, six hundred eighty".