1338336800 has 36 divisors (see below), whose sum is σ = 3267216666. Its totient is φ = 535334400.

The previous prime is 1338336799. The next prime is 1338336803. The reversal of 1338336800 is 86338331.

It can be written as a sum of positive squares in 3 ways, for example, as 868834576 + 469502224 = 29476^2 + 21668^2 .

It is a super-2 number, since 2×1338336800² = 3582290780468480000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1338336803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 835661 + ... + 837260.

Almost surely, 2^1338336800 is an apocalyptic number.

1338336800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338336800 is an abundant number, since it is smaller than the sum of its proper divisors (1928879866).

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

1338336800 is a wasteful number, since it uses less digits than its factorization.

1338336800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672941 (or 1672928 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 1338336800 is about 36583.2858010321. The cubic root of 1338336800 is about 1102.0174546507.

The spelling of 1338336800 in words is "one billion, three hundred thirty-eight million, three hundred thirty-six thousand, eight hundred".