1338840400 has 60 divisors (see below), whose sum is σ = 3320354944. Its totient is φ = 518256000.

The previous prime is 1338840379. The next prime is 1338840407. The reversal of 1338840400 is 40488331.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338840407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41586 + ... + 66385.

Almost surely, 2^1338840400 is an apocalyptic number.

1338840400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338840400 is an abundant number, since it is smaller than the sum of its proper divisors (1981514544).

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

1338840400 is a wasteful number, since it uses less digits than its factorization.

1338840400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108020 (or 108009 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 1338840400 is about 36590.1680783240. The cubic root of 1338840400 is about 1102.1556626101.

The spelling of 1338840400 in words is "one billion, three hundred thirty-eight million, eight hundred forty thousand, four hundred".