3665288880 has 200 divisors, whose sum is σ = 13887642384. Its totient is φ = 888537600.

The previous prime is 3665288831. The next prime is 3665288953. The reversal of 3665288880 is 888825663.

3665288880 is a `hidden beast` number, since 36 + 6 + 528 + 8 + 8 + 80 = 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 39 ways as a sum of consecutive naturals, for example, 45570 + ... + 96990.

Almost surely, 2^3665288880 is an apocalyptic number.

3665288880 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 3665288880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6943821192).

3665288880 is an abundant number, since it is smaller than the sum of its proper divisors (10222353504).

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

3665288880 is a wasteful number, since it uses less digits than its factorization.

3665288880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51457 (or 51442 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 3665288880 is about 60541.6293140513. The cubic root of 3665288880 is about 1541.8285021765.

The spelling of 3665288880 in words is "three billion, six hundred sixty-five million, two hundred eighty-eight thousand, eight hundred eighty".