3903120 has 160 divisors (see below), whose sum is σ = 14582400. Its totient is φ = 953856.

The previous prime is 3903101. The next prime is 3903127. The reversal of 3903120 is 213093.

3903120 = T₁₃₆ + T₁₃₇ + ... + T₂₉₅.

3903120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3903093 and 3903102.

It is not an unprimeable number, because it can be changed into a prime (3903127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28011 + ... + 28149.

It is an arithmetic number, because the mean of its divisors is an integer number (91140).

Almost surely, 2^3903120 is an apocalyptic number.

3903120 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 3903120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291200).

3903120 is an abundant number, since it is smaller than the sum of its proper divisors (10679280).

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

3903120 is a wasteful number, since it uses less digits than its factorization.

3903120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

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

The square root of 3903120 is about 1975.6315445953. The cubic root of 3903120 is about 157.4480554326.

The spelling of 3903120 in words is "three million, nine hundred three thousand, one hundred twenty".