3982080 has 144 divisors (see below), whose sum is σ = 13686624. Its totient is φ = 983040.

The previous prime is 3982079. The next prime is 3982117. The reversal of 3982080 is 802893.

It is a super-2 number, since 2×3982080² = 31713922252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

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, 65250 + ... + 65310.

It is an arithmetic number, because the mean of its divisors is an integer number (95046).

Almost surely, 2^3982080 is an apocalyptic number.

3982080 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 3982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6843312).

3982080 is an abundant number, since it is smaller than the sum of its proper divisors (9704544).

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

3982080 is a wasteful number, since it uses less digits than its factorization.

3982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 3982080 is about 1995.5149711290. The cubic root of 3982080 is about 158.5026984252.

The spelling of 3982080 in words is "three million, nine hundred eighty-two thousand, eighty".