3863636599680 has 1280 divisors, whose sum is σ = 17063713497600. Its totient is φ = 819055411200.

The previous prime is 3863636599633. The next prime is 3863636599729. The reversal of 3863636599680 is 869956363683.

3863636599680 is a `hidden beast` number, since 386 + 3 + 6 + 36 + 59 + 96 + 80 = 666.

It is a super-2 number, since 2×3863636599680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3863636599599 and 3863636599608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 140835565 + ... + 140862995.

It is an arithmetic number, because the mean of its divisors is an integer number (13331026170).

Almost surely, 2^{3863636599680} is an apocalyptic number.

3863636599680 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 3863636599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8531856748800).

3863636599680 is an abundant number, since it is smaller than the sum of its proper divisors (13200076897920).

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

3863636599680 is a wasteful number, since it uses less digits than its factorization.

3863636599680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27505 (or 27484 counting only the distinct ones).

The product of its (nonzero) digits is 906992640, while the sum is 72.

The spelling of 3863636599680 in words is "three trillion, eight hundred sixty-three billion, six hundred thirty-six million, five hundred ninety-nine thousand, six hundred eighty".