3863882213400 has 192 divisors, whose sum is σ = 13069301011200. Its totient is φ = 936529984000.

The previous prime is 3863882213377. The next prime is 3863882213423. The reversal of 3863882213400 is 43122883683.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3863882213377) and next prime (3863882213423).

It is a self number, because there is not a number n which added to its sum of digits gives 3863882213400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38751610 + ... + 38851190.

It is an arithmetic number, because the mean of its divisors is an integer number (68069276100).

Almost surely, 2^{3863882213400} is an apocalyptic number.

3863882213400 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 3863882213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6534650505600).

3863882213400 is an abundant number, since it is smaller than the sum of its proper divisors (9205418797800).

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

3863882213400 is a wasteful number, since it uses less digits than its factorization.

3863882213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105490 (or 105481 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 3863882213400 in words is "three trillion, eight hundred sixty-three billion, eight hundred eighty-two million, two hundred thirteen thousand, four hundred".