3930120 has 80 divisors (see below), whose sum is σ = 13220460. Its totient is φ = 1047168.

The previous prime is 3930061. The next prime is 3930139. The reversal of 3930120 is 210393.

3930120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3437316 + 492804 = 1854^2 + 702^2 .

It is a super-3 number, since 3×3930120³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3930093 and 3930102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2634 + ... + 3846.

Almost surely, 2^3930120 is an apocalyptic number.

3930120 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 3930120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6610230).

3930120 is an abundant number, since it is smaller than the sum of its proper divisors (9290340).

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

3930120 is a wasteful number, since it uses less digits than its factorization.

3930120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3930120 is about 1982.4530259252. The cubic root of 3930120 is about 157.8102727196.

The spelling of 3930120 in words is "three million, nine hundred thirty thousand, one hundred twenty".