3966120 has 96 divisors (see below), whose sum is σ = 13478400. Its totient is φ = 1009536.

The previous prime is 3966119. The next prime is 3966121. The reversal of 3966120 is 216693.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3966119) and next prime (3966121).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3966121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8041 + ... + 8519.

It is an arithmetic number, because the mean of its divisors is an integer number (140400).

Almost surely, 2^3966120 is an apocalyptic number.

3966120 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 3966120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739200).

3966120 is an abundant number, since it is smaller than the sum of its proper divisors (9512280).

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

3966120 is a wasteful number, since it uses less digits than its factorization.

3966120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3966120 is about 1991.5119884148. The cubic root of 3966120 is about 158.2906576276.

Adding to 3966120 its product of nonzero digits (1944), we get a square (3968064 = 1992²).

The spelling of 3966120 in words is "three million, nine hundred sixty-six thousand, one hundred twenty".