1338581376 has 320 divisors, whose sum is σ = 4426828560. Its totient is φ = 401448960.

The previous prime is 1338581359. The next prime is 1338581399. The reversal of 1338581376 is 6731858331.

1338581376 is a `hidden beast` number, since 1 + 3 + 38 + 581 + 37 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13799760 + ... + 13799856.

Almost surely, 2^1338581376 is an apocalyptic number.

1338581376 is a gapful number since it is divisible by the number (16) 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 1338581376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213414280).

1338581376 is an abundant number, since it is smaller than the sum of its proper divisors (3088247184).

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

1338581376 is an frugal number, since it uses more digits than its factorization.

1338581376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 113 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1338581376 is about 36586.6283770451. The cubic root of 1338581376 is about 1102.0845804056.

The spelling of 1338581376 in words is "one billion, three hundred thirty-eight million, five hundred eighty-one thousand, three hundred seventy-six".