3612480 has 112 divisors (see below), whose sum is σ = 11850624. Its totient is φ = 931840.

The previous prime is 3612457. The next prime is 3612487. The reversal of 3612480 is 842163.

It is a happy number.

3612480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3612480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3612487) 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 15 ways as a sum of consecutive naturals, for example, 50845 + ... + 50915.

Almost surely, 2^3612480 is an apocalyptic number.

3612480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925312).

3612480 is an abundant number, since it is smaller than the sum of its proper divisors (8238144).

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

3612480 is a wasteful number, since it uses less digits than its factorization.

3612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3612480 is about 1900.6525195311. The cubic root of 3612480 is about 153.4387848444.

Subtracting from 3612480 its product of nonzero digits (1152), we obtain a triangular number (3611328 = T₂₆₈₇).

The spelling of 3612480 in words is "three million, six hundred twelve thousand, four hundred eighty".