1382947344 has 75 divisors (see below), whose sum is σ = 4006529373. Its totient is φ = 460536192.

The previous prime is 1382947337. The next prime is 1382947367. The reversal of 1382947344 is 4437492831.

The square root of 1382947344 is 37188.

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

1382947344 is a `hidden beast` number, since 13 + 8 + 294 + 7 + 344 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1335171600 + 47775744 = 36540^2 + 6912^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1382947344.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1338252 + ... + 1339284.

Almost surely, 2^1382947344 is an apocalyptic number.

1382947344 is the 37188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1382947344

1382947344 is an abundant number, since it is smaller than the sum of its proper divisors (2623582029).

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

1382947344 is an frugal number, since it uses more digits than its factorization.

1382947344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 1038 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The cubic root of 1382947344 is about 1114.1283229938.

The spelling of 1382947344 in words is "one billion, three hundred eighty-two million, nine hundred forty-seven thousand, three hundred forty-four".