3613120 has 56 divisors (see below), whose sum is σ = 9838944. Its totient is φ = 1238016.

The previous prime is 3613079. The next prime is 3613121. The reversal of 3613120 is 213163.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×3613120² = 26109272268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3613094 and 3613103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3613121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1434 + ... + 3046.

Almost surely, 2^3613120 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 3613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4919472).

3613120 is an abundant number, since it is smaller than the sum of its proper divisors (6225824).

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

3613120 is a wasteful number, since it uses less digits than its factorization.

3613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3613120 is about 1900.8208753062. The cubic root of 3613120 is about 153.4478455657.

Adding to 3613120 its reverse (213163), we get a palindrome (3826283).

It can be divided in two parts, 361 and 3120, that added together give a square (3481 = 59²).

The spelling of 3613120 in words is "three million, six hundred thirteen thousand, one hundred twenty".