3612040 has 32 divisors (see below), whose sum is σ = 8245080. Its totient is φ = 1423872.

The previous prime is 3612029. The next prime is 3612047. The reversal of 3612040 is 402163.

3612040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3305124 + 306916 = 1818^2 + 554^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3612047) by changing a digit.

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, 2302 + ... + 3538.

Almost surely, 2^3612040 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 3612040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122540).

3612040 is an abundant number, since it is smaller than the sum of its proper divisors (4633040).

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

3612040 is a wasteful number, since it uses less digits than its factorization.

3612040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3612040 is about 1900.5367662847. The cubic root of 3612040 is about 153.4325549777.

It can be divided in two parts, 361 and 2040, that added together give a 4-th power (2401 = 7⁴).

The spelling of 3612040 in words is "three million, six hundred twelve thousand, forty".