3615480 has 144 divisors (see below), whose sum is σ = 13071240. Its totient is φ = 865920.

The previous prime is 3615473. The next prime is 3615523. The reversal of 3615480 is 845163.

3615480 is a `hidden beast` number, since 3 + 615 + 48 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43519 + ... + 43601.

Almost surely, 2^3615480 is an apocalyptic number.

3615480 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 3615480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535620).

3615480 is an abundant number, since it is smaller than the sum of its proper divisors (9455760).

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

3615480 is a wasteful number, since it uses less digits than its factorization.

3615480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3615480 is about 1901.4415583972. The cubic root of 3615480 is about 153.4812477313.

It can be divided in two parts, 3615 and 480, that added together give a triangular number (4095 = T₉₀).

The spelling of 3615480 in words is "three million, six hundred fifteen thousand, four hundred eighty".