3863141389800 has 864 divisors, whose sum is σ = 16483449322080. Its totient is φ = 801776102400.

The previous prime is 3863141389799. The next prime is 3863141389801. The reversal of 3863141389800 is 89831413683.

3863141389800 is a `hidden beast` number, since 386 + 3 + 141 + 38 + 98 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3863141389799) and next prime (3863141389801).

It is a super-2 number, since 2×3863141389800² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3863141389801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1060426779 + ... + 1060430421.

It is an arithmetic number, because the mean of its divisors is an integer number (19078066345).

Almost surely, 2^{3863141389800} is an apocalyptic number.

3863141389800 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 3863141389800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241724661040).

3863141389800 is an abundant number, since it is smaller than the sum of its proper divisors (12620307932280).

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

3863141389800 is a wasteful number, since it uses less digits than its factorization.

3863141389800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4783 (or 4764 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 3863141389800 in words is "three trillion, eight hundred sixty-three billion, one hundred forty-one million, three hundred eighty-nine thousand, eight hundred".