1387736448 has 192 divisors, whose sum is σ = 4328406720. Its totient is φ = 392770560.

The previous prime is 1387736447. The next prime is 1387736453. The reversal of 1387736448 is 8446377831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1387736448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1387736447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2464615 + ... + 2465177.

It is an arithmetic number, because the mean of its divisors is an integer number (22543785).

Almost surely, 2^1387736448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387736448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164203360).

1387736448 is an abundant number, since it is smaller than the sum of its proper divisors (2940670272).

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

1387736448 is a wasteful number, since it uses less digits than its factorization.

1387736448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 706 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The square root of 1387736448 is about 37252.3347993116. The cubic root of 1387736448 is about 1115.4129053169.

The spelling of 1387736448 in words is "one billion, three hundred eighty-seven million, seven hundred thirty-six thousand, four hundred forty-eight".