3665657414880 has 192 divisors, whose sum is σ = 12873593113920. Its totient is φ = 974172100608.

The previous prime is 3665657414879. The next prime is 3665657414897. The reversal of 3665657414880 is 884147565663.

3665657414880 is a `hidden beast` number, since 3 + 6 + 6 + 56 + 574 + 1 + 4 + 8 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182247 + ... + 2713766.

It is an arithmetic number, because the mean of its divisors is an integer number (67049964135).

Almost surely, 2^{3665657414880} is an apocalyptic number.

3665657414880 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 3665657414880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6436796556960).

3665657414880 is an abundant number, since it is smaller than the sum of its proper divisors (9207935699040).

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

3665657414880 is a wasteful number, since it uses less digits than its factorization.

3665657414880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896330 (or 2896316 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 3665657414880 in words is "three trillion, six hundred sixty-five billion, six hundred fifty-seven million, four hundred fourteen thousand, eight hundred eighty".