3863674200 has 192 divisors, whose sum is σ = 12233145600. Its totient is φ = 1008576000.

The previous prime is 3863674127. The next prime is 3863674219. The reversal of 3863674200 is 24763683.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6241491 + ... + 6242109.

It is an arithmetic number, because the mean of its divisors is an integer number (63714300).

Almost surely, 2^3863674200 is an apocalyptic number.

3863674200 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 3863674200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6116572800).

3863674200 is an abundant number, since it is smaller than the sum of its proper divisors (8369471400).

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

3863674200 is a wasteful number, since it uses less digits than its factorization.

3863674200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 3863674200 is about 62158.4604056439. The cubic root of 3863674200 is about 1569.1585684182.

The spelling of 3863674200 in words is "three billion, eight hundred sixty-three million, six hundred seventy-four thousand, two hundred".