3813120 has 108 divisors (see below), whose sum is σ = 13232856. Its totient is φ = 1013760.

The previous prime is 3813113. The next prime is 3813143. The reversal of 3813120 is 213183.

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 = 3813093 and 3813102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11355 + ... + 11685.

Almost surely, 2^3813120 is an apocalyptic number.

3813120 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 3813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616428).

3813120 is an abundant number, since it is smaller than the sum of its proper divisors (9419736).

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

3813120 is a wasteful number, since it uses less digits than its factorization.

3813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3813120 is about 1952.7211782536. The cubic root of 3813120 is about 156.2284620980.

The spelling of 3813120 in words is "three million, eight hundred thirteen thousand, one hundred twenty".