3660478080 has 512 divisors, whose sum is σ = 14534069760. Its totient is φ = 764411904.

The previous prime is 3660478069. The next prime is 3660478091. The reversal of 3660478080 is 808740663.

It is an interprime number because it is at equal distance from previous prime (3660478069) and next prime (3660478091).

It is a super-3 number, since 3×3660478080³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8453544 + ... + 8453976.

It is an arithmetic number, because the mean of its divisors is an integer number (28386855).

Almost surely, 2^3660478080 is an apocalyptic number.

3660478080 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 3660478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267034880).

3660478080 is an abundant number, since it is smaller than the sum of its proper divisors (10873591680).

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

3660478080 is a wasteful number, since it uses less digits than its factorization.

3660478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 3660478080 is about 60501.8849293144. The cubic root of 3660478080 is about 1541.1536416705.

The spelling of 3660478080 in words is "three billion, six hundred sixty million, four hundred seventy-eight thousand, eighty".