3665688480 has 384 divisors, whose sum is σ = 13586227200. Its totient is φ = 921203712.

The previous prime is 3665688451. The next prime is 3665688547. The reversal of 3665688480 is 848865663.

3665688480 is a `hidden beast` number, since 36 + 6 + 56 + 88 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 7849207 + ... + 7849673.

It is an arithmetic number, because the mean of its divisors is an integer number (35380800).

Almost surely, 2^3665688480 is an apocalyptic number.

3665688480 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 3665688480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793113600).

3665688480 is an abundant number, since it is smaller than the sum of its proper divisors (9920538720).

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

3665688480 is a wasteful number, since it uses less digits than its factorization.

3665688480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 3665688480 is about 60544.9294326123. The cubic root of 3665688480 is about 1541.8845316192.

The spelling of 3665688480 in words is "three billion, six hundred sixty-five million, six hundred eighty-eight thousand, four hundred eighty".