3879360 has 112 divisors (see below), whose sum is σ = 13716000. Its totient is φ = 1032192.

The previous prime is 3879353. The next prime is 3879361. The reversal of 3879360 is 639783.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3879361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8416 + ... + 8864.

Almost surely, 2^3879360 is an apocalyptic number.

3879360 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 3879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858000).

3879360 is an abundant number, since it is smaller than the sum of its proper divisors (9836640).

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

3879360 is a wasteful number, since it uses less digits than its factorization.

3879360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3879360 is about 1969.6090982731. The cubic root of 3879360 is about 157.1279198710.

The spelling of 3879360 in words is "three million, eight hundred seventy-nine thousand, three hundred sixty".