1387360000 has 360 divisors, whose sum is σ = 4022837280. Its totient is φ = 473088000.

The previous prime is 1387359997. The next prime is 1387360033. The reversal of 1387360000 is 637831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47839986 + ... + 47840014.

It is an arithmetic number, because the mean of its divisors is an integer number (11174548).

Almost surely, 2^1387360000 is an apocalyptic number.

1387360000 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 1387360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011418640).

1387360000 is an abundant number, since it is smaller than the sum of its proper divisors (2635477280).

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

1387360000 is an equidigital number, since it uses as much as digits as its factorization.

1387360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 1387360000 is about 37247.2817800172. The cubic root of 1387360000 is about 1115.3120377178.

Adding to 1387360000 its reverse (637831), we get a palindrome (1387997831).

The spelling of 1387360000 in words is "one billion, three hundred eighty-seven million, three hundred sixty thousand".