3668642984160 has 1536 divisors, whose sum is σ = 17030335795200. Its totient is φ = 714088120320.

The previous prime is 3668642984159. The next prime is 3668642984161. The reversal of 3668642984160 is 614892468663.

3668642984160 is a `hidden beast` number, since 36 + 6 + 86 + 429 + 8 + 41 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3668642984159) and next prime (3668642984161).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3668642984161) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1294966104 + ... + 1294968936.

It is an arithmetic number, because the mean of its divisors is an integer number (11087458200).

Almost surely, 2^{3668642984160} is an apocalyptic number.

3668642984160 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 3668642984160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8515167897600).

3668642984160 is an abundant number, since it is smaller than the sum of its proper divisors (13361692811040).

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

3668642984160 is a wasteful number, since it uses less digits than its factorization.

3668642984160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 3668642984160 in words is "three trillion, six hundred sixty-eight billion, six hundred forty-two million, nine hundred eighty-four thousand, one hundred sixty".