1338096400 has 135 divisors (see below), whose sum is σ = 3379080693. Its totient is φ = 509193600.

The previous prime is 1338096373. The next prime is 1338096433. The reversal of 1338096400 is 46908331.

The square root of 1338096400 is 36580.

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., 481714704 + 856381696 = 21948^2 + 29264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22679571 + ... + 22679629.

Almost surely, 2^1338096400 is an apocalyptic number.

1338096400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1338096400 is the 36580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1338096400

1338096400 is an abundant number, since it is smaller than the sum of its proper divisors (2040984293).

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

1338096400 is an equidigital number, since it uses as much as digits as its factorization.

1338096400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The cubic root of 1338096400 is about 1101.9514670607.

The spelling of 1338096400 in words is "one billion, three hundred thirty-eight million, ninety-six thousand, four hundred".