8382338400 has 72 divisors (see below), whose sum is σ = 27284519304. Its totient is φ = 2235289600.

The previous prime is 8382338299. The next prime is 8382338413. The reversal of 8382338400 is 48332838.

It is a happy number.

It is a super-2 number, since 2×8382338400² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1743921 + ... + 1748720.

It is an arithmetic number, because the mean of its divisors is an integer number (378951657).

Almost surely, 2^8382338400 is an apocalyptic number.

8382338400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8382338400 is an abundant number, since it is smaller than the sum of its proper divisors (18902180904).

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

8382338400 is a wasteful number, since it uses less digits than its factorization.

8382338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492664 (or 3492651 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 8382338400 is about 91555.1112718454. Note that the first 3 decimals coincide. The cubic root of 8382338400 is about 2031.3670166591.

The spelling of 8382338400 in words is "eight billion, three hundred eighty-two million, three hundred thirty-eight thousand, four hundred".