3815120 has 40 divisors (see below), whose sum is σ = 8975616. Its totient is φ = 1507968.

The previous prime is 3815111. The next prime is 3815159. The reversal of 3815120 is 215183.

3815120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3815120² = 29110281228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3815092 and 3815101.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8009 + ... + 8471.

Almost surely, 2^3815120 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 3815120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4487808).

3815120 is an abundant number, since it is smaller than the sum of its proper divisors (5160496).

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

3815120 is a wasteful number, since it uses less digits than its factorization.

3815120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 3815120 is about 1953.2332170020. The cubic root of 3815120 is about 156.2557715201.

The spelling of 3815120 in words is "three million, eight hundred fifteen thousand, one hundred twenty".