3996180 has 54 divisors (see below), whose sum is σ = 12203646. Its totient is φ = 1058496.

The previous prime is 3996151. The next prime is 3996193. The reversal of 3996180 is 816993.

3996180 is a `hidden beast` number, since 39 + 9 + 618 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 51984 + 3944196 = 228^2 + 1986^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26746 + ... + 26894.

Almost surely, 2^3996180 is an apocalyptic number.

3996180 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 3996180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6101823).

3996180 is an abundant number, since it is smaller than the sum of its proper divisors (8207466).

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

3996180 is a wasteful number, since it uses less digits than its factorization.

3996180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3996180 is about 1999.0447718848. The cubic root of 3996180 is about 158.6895568354.

The spelling of 3996180 in words is "three million, nine hundred ninety-six thousand, one hundred eighty".