3613520 has 40 divisors (see below), whose sum is σ = 8898984. Its totient is φ = 1359872.

The previous prime is 3613517. The next prime is 3613523. The reversal of 3613520 is 253163.

It is an interprime number because it is at equal distance from previous prime (3613517) and next prime (3613523).

It can be written as a sum of positive squares in 4 ways, for example, as 976144 + 2637376 = 988^2 + 1624^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 3613492 and 3613501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3613523) 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, 32 + ... + 2688.

Almost surely, 2^3613520 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 3613520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449492).

3613520 is an abundant number, since it is smaller than the sum of its proper divisors (5285464).

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

3613520 is a wasteful number, since it uses less digits than its factorization.

3613520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 3613520 is about 1900.9260900940. The cubic root of 3613520 is about 153.4535079732.

Adding to 3613520 its reverse (253163), we get a palindrome (3866683).

The spelling of 3613520 in words is "three million, six hundred thirteen thousand, five hundred twenty".