3660480 has 168 divisors, whose sum is σ = 13313664. Its totient is φ = 921600.

The previous prime is 3660469. The next prime is 3660487. The reversal of 3660480 is 840663.

It is a super-2 number, since 2×3660480² = 26798227660800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3660487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89260 + ... + 89300.

It is an arithmetic number, because the mean of its divisors is an integer number (79248).

Almost surely, 2^3660480 is an apocalyptic number.

3660480 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 3660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656832).

3660480 is an abundant number, since it is smaller than the sum of its proper divisors (9653184).

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

3660480 is a wasteful number, since it uses less digits than its factorization.

3660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3660480 is about 1913.2380928677. The cubic root of 3660480 is about 154.1153911127.

It can be divided in two parts, 36 and 60480, that added together give a square (60516 = 246²).

The spelling of 3660480 in words is "three million, six hundred sixty thousand, four hundred eighty".