8332038400 has 243 divisors, whose sum is σ = 24138214821. Its totient is φ = 2839173120.

The previous prime is 8332038383. The next prime is 8332038413. The reversal of 8332038400 is 48302338.

The square root of 8332038400 is 91280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2999533824 + 5332504576 = 54768^2 + 73024^2 .

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 26 ways as a sum of consecutive naturals, for example, 51116719 + ... + 51116881.

Almost surely, 2^8332038400 is an apocalyptic number.

8332038400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8332038400 is the 91280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8332038400

8332038400 is an abundant number, since it is smaller than the sum of its proper divisors (15806176421).

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

8332038400 is an equidigital number, since it uses as much as digits as its factorization.

8332038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The cubic root of 8332038400 is about 2027.2956458032.

The spelling of 8332038400 in words is "eight billion, three hundred thirty-two million, thirty-eight thousand, four hundred".