4382438400 has 396 divisors, whose sum is σ = 16393227552. Its totient is φ = 1116487680.

The previous prime is 4382438399. The next prime is 4382438441. The reversal of 4382438400 is 48342834.

4382438400 is a `hidden beast` number, since 4 + 3 + 8 + 243 + 8 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5298787 + ... + 5299613.

Almost surely, 2^4382438400 is an apocalyptic number.

4382438400 is a gapful number since it is divisible by the number (40) 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 4382438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196613776).

4382438400 is an abundant number, since it is smaller than the sum of its proper divisors (12010789152).

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

4382438400 is a wasteful number, since it uses less digits than its factorization.

4382438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4382438400 is about 66199.9879154068. The cubic root of 4382438400 is about 1636.4595445470.

The spelling of 4382438400 in words is "four billion, three hundred eighty-two million, four hundred thirty-eight thousand, four hundred".