3982120 has 32 divisors (see below), whose sum is σ = 9049320. Its totient is φ = 1576960.

The previous prime is 3982117. The next prime is 3982123. The reversal of 3982120 is 212893.

It is an interprime number because it is at equal distance from previous prime (3982117) and next prime (3982123).

It can be written as a sum of positive squares in 4 ways, for example, as 1285956 + 2696164 = 1134^2 + 1642^2 .

It is not an unprimeable number, because it can be changed into a prime (3982123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4080 + ... + 4960.

Almost surely, 2^3982120 is an apocalyptic number.

It is an amenable number.

3982120 is an abundant number, since it is smaller than the sum of its proper divisors (5067200).

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

3982120 is a wasteful number, since it uses less digits than its factorization.

3982120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 3982120 is about 1995.5249935794. The cubic root of 3982120 is about 158.5032291434.

The spelling of 3982120 in words is "three million, nine hundred eighty-two thousand, one hundred twenty".