1383840000 has 405 divisors, whose sum is σ = 5151865719. Its totient is φ = 357120000.

The previous prime is 1383839981. The next prime is 1383840023. The reversal of 1383840000 is 483831.

The square root of 1383840000 is 37200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 108493056 + 1275346944 = 10416^2 + 35712^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 44639985 + ... + 44640015.

Almost surely, 2^1383840000 is an apocalyptic number.

1383840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1383840000 is the 37200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1383840000

1383840000 is an abundant number, since it is smaller than the sum of its proper divisors (3768025719).

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

1383840000 is an frugal number, since it uses more digits than its factorization.

1383840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 1383840000 is about 1114.3679849090.

Multiplying 1383840000 by its product of nonzero digits (2304), we get a square (3188367360000 = 1785600²).

1383840000 divided by its product of nonzero digits (2304) gives a square (600625 = 775²).

The spelling of 1383840000 in words is "one billion, three hundred eighty-three million, eight hundred forty thousand".