3863802278400 has 480 divisors, whose sum is σ = 13108175308800. Its totient is φ = 1002920755200.

The previous prime is 3863802278351. The next prime is 3863802278417. The reversal of 3863802278400 is 48722083683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3863802278400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215376631 + ... + 215394569.

It is an arithmetic number, because the mean of its divisors is an integer number (27308698560).

Almost surely, 2^{3863802278400} is an apocalyptic number.

3863802278400 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 3863802278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554087654400).

3863802278400 is an abundant number, since it is smaller than the sum of its proper divisors (9244373030400).

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

3863802278400 is a wasteful number, since it uses less digits than its factorization.

3863802278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18120 (or 18099 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 3863802278400 in words is "three trillion, eight hundred sixty-three billion, eight hundred two million, two hundred seventy-eight thousand, four hundred".