1381376304 has 480 divisors, whose sum is σ = 5199667200. Its totient is φ = 331568640.

The previous prime is 1381376281. The next prime is 1381376317. The reversal of 1381376304 is 4036731831.

1381376304 is a `hidden beast` number, since 1 + 3 + 8 + 13 + 7 + 630 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16643047 + ... + 16643129.

It is an arithmetic number, because the mean of its divisors is an integer number (10832640).

Almost surely, 2^1381376304 is an apocalyptic number.

1381376304 is a gapful number since it is divisible by the number (14) 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 1381376304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599833600).

1381376304 is an abundant number, since it is smaller than the sum of its proper divisors (3818290896).

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

1381376304 is a wasteful number, since it uses less digits than its factorization.

1381376304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1381376304 is about 37166.8710547444. The cubic root of 1381376304 is about 1113.7062767056.

It can be divided in two parts, 138137 and 6304, that added together give a palindrome (144441).

The spelling of 1381376304 in words is "one billion, three hundred eighty-one million, three hundred seventy-six thousand, three hundred four".