1381816800 has 1152 divisors, whose sum is σ = 6649574400. Its totient is φ = 268738560.

The previous prime is 1381816789. The next prime is 1381816829. The reversal of 1381816800 is 86181831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37346382 + ... + 37346418.

It is an arithmetic number, because the mean of its divisors is an integer number (5772200).

Almost surely, 2^1381816800 is an apocalyptic number.

1381816800 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 1381816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324787200).

1381816800 is an abundant number, since it is smaller than the sum of its proper divisors (5267757600).

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

1381816800 is a wasteful number, since it uses less digits than its factorization.

1381816800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1381816800 is about 37172.7965049712. The cubic root of 1381816800 is about 1113.8246444094.

The spelling of 1381816800 in words is "one billion, three hundred eighty-one million, eight hundred sixteen thousand, eight hundred".