3681520 has 40 divisors (see below), whose sum is σ = 9066384. Its totient is φ = 1385472.

The previous prime is 3681511. The next prime is 3681523. The reversal of 3681520 is 251863.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3681523) 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, 7 + ... + 2713.

Almost surely, 2^3681520 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 3681520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533192).

3681520 is an abundant number, since it is smaller than the sum of its proper divisors (5384864).

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

3681520 is a wasteful number, since it uses less digits than its factorization.

3681520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 3681520 is about 1918.7287458106. The cubic root of 3681520 is about 154.4101060975.

The spelling of 3681520 in words is "three million, six hundred eighty-one thousand, five hundred twenty".