1380838800 has 240 divisors, whose sum is σ = 4894918848. Its totient is φ = 329932800.

The previous prime is 1380838793. The next prime is 1380838807. The reversal of 1380838800 is 88380831.

It is an interprime number because it is at equal distance from previous prime (1380838793) and next prime (1380838807).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (1380838807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 962884 + ... + 964316.

Almost surely, 2^1380838800 is an apocalyptic number.

1380838800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380838800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447459424).

1380838800 is an abundant number, since it is smaller than the sum of its proper divisors (3514080048).

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

1380838800 is a wasteful number, since it uses less digits than its factorization.

1380838800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 1380838800 is about 37159.6393954516. The cubic root of 1380838800 is about 1113.5618074454.

The spelling of 1380838800 in words is "one billion, three hundred eighty million, eight hundred thirty-eight thousand, eight hundred".