3663829241856 has 1248 divisors, whose sum is σ = 13561984172160. Its totient is φ = 983224811520.

The previous prime is 3663829241843. The next prime is 3663829241881. The reversal of 3663829241856 is 6581429283663.

3663829241856 is a `hidden beast` number, since 3 + 6 + 6 + 3 + 82 + 92 + 418 + 56 = 666.

It is a super-2 number, since 2×3663829241856² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3663829241793 and 3663829241802.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7461973771 + ... + 7461974261.

Almost surely, 2^{3663829241856} is an apocalyptic number.

3663829241856 is a gapful number since it is divisible by the number (36) 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 3663829241856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780992086080).

3663829241856 is an abundant number, since it is smaller than the sum of its proper divisors (9898154930304).

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

3663829241856 is an frugal number, since it uses more digits than its factorization.

3663829241856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 520 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 3663829241856 in words is "three trillion, six hundred sixty-three billion, eight hundred twenty-nine million, two hundred forty-one thousand, eight hundred fifty-six".