3980880 has 160 divisors (see below), whose sum is σ = 14582400. Its totient is φ = 995328.

The previous prime is 3980857. The next prime is 3980887. The reversal of 3980880 is 880893.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (3980887) 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, 40992 + ... + 41088.

It is an arithmetic number, because the mean of its divisors is an integer number (91140).

Almost surely, 2^3980880 is an apocalyptic number.

3980880 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 3980880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291200).

3980880 is an abundant number, since it is smaller than the sum of its proper divisors (10601520).

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

3980880 is a wasteful number, since it uses less digits than its factorization.

3980880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 3980880 is about 1995.2142742072. The cubic root of 3980880 is about 158.4867752270.

The spelling of 3980880 in words is "three million, nine hundred eighty thousand, eight hundred eighty".