4382834400 has 864 divisors, whose sum is σ = 19075966560. Its totient is φ = 967680000.

The previous prime is 4382834399. The next prime is 4382834461. The reversal of 4382834400 is 44382834.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43394350 + ... + 43394450.

It is an arithmetic number, because the mean of its divisors is an integer number (22078665).

Almost surely, 2^4382834400 is an apocalyptic number.

4382834400 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 4382834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9537983280).

4382834400 is an abundant number, since it is smaller than the sum of its proper divisors (14693132160).

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

4382834400 is a wasteful number, since it uses less digits than its factorization.

4382834400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 159 counting only the distinct ones).

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

The square root of 4382834400 is about 66202.9787849459. The cubic root of 4382834400 is about 1636.5088335807.

The spelling of 4382834400 in words is "four billion, three hundred eighty-two million, eight hundred thirty-four thousand, four hundred".