1381349376 has 240 divisors, whose sum is σ = 4507022520. Its totient is φ = 418037760.

The previous prime is 1381349371. The next prime is 1381349413. The reversal of 1381349376 is 6739431831.

1381349376 is a `hidden beast` number, since 13 + 81 + 3 + 493 + 76 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381349371) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1824390 + ... + 1825146.

Almost surely, 2^1381349376 is an apocalyptic number.

1381349376 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 1381349376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253511260).

1381349376 is an abundant number, since it is smaller than the sum of its proper divisors (3125673144).

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

1381349376 is an equidigital number, since it uses as much as digits as its factorization.

1381349376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 773 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 1381349376 is about 37166.5087948814. The cubic root of 1381349376 is about 1113.6990399429.

The spelling of 1381349376 in words is "one billion, three hundred eighty-one million, three hundred forty-nine thousand, three hundred seventy-six".