3882362400 has 576 divisors, whose sum is σ = 16296456960. Its totient is φ = 884597760.

The previous prime is 3882362389. The next prime is 3882362423. The reversal of 3882362400 is 42632883.

3882362400 is a `hidden beast` number, since 3 + 8 + 8 + 23 + 624 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12247042 + ... + 12247358.

It is an arithmetic number, because the mean of its divisors is an integer number (28292460).

Almost surely, 2^3882362400 is an apocalyptic number.

3882362400 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 3882362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8148228480).

3882362400 is an abundant number, since it is smaller than the sum of its proper divisors (12414094560).

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

3882362400 is an equidigital number, since it uses as much as digits as its factorization.

3882362400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3882362400 is about 62308.6061471447. The cubic root of 3882362400 is about 1571.6844538842.

The spelling of 3882362400 in words is "three billion, eight hundred eighty-two million, three hundred sixty-two thousand, four hundred".