3992120 has 64 divisors (see below), whose sum is σ = 10074240. Its totient is φ = 1411200.

The previous prime is 3992099. The next prime is 3992123. The reversal of 3992120 is 212993.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3992120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3992123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18815 + ... + 19025.

It is an arithmetic number, because the mean of its divisors is an integer number (157410).

Almost surely, 2^3992120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3992120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037120).

3992120 is an abundant number, since it is smaller than the sum of its proper divisors (6082120).

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

3992120 is a wasteful number, since it uses less digits than its factorization.

3992120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 3992120 is about 1998.0290288182. The cubic root of 3992120 is about 158.6357973356.

The spelling of 3992120 in words is "three million, nine hundred ninety-two thousand, one hundred twenty".