3613320 has 48 divisors (see below), whose sum is σ = 11744460. Its totient is φ = 963456.

The previous prime is 3613307. The next prime is 3613321. The reversal of 3613320 is 233163.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3526884 + 86436 = 1878^2 + 294^2 .

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 = 3613293 and 3613302.

It is not an unprimeable number, because it can be changed into a prime (3613321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4659 + ... + 5378.

Almost surely, 2^3613320 is an apocalyptic number.

3613320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3613320 is an abundant number, since it is smaller than the sum of its proper divisors (8131140).

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

3613320 is a wasteful number, since it uses less digits than its factorization.

3613320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10054 (or 10047 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3613320 is about 1900.8734834281. The cubic root of 3613320 is about 153.4506768217.

Adding to 3613320 its reverse (233163), we get a palindrome (3846483).

The spelling of 3613320 in words is "three million, six hundred thirteen thousand, three hundred twenty".