1343381760 has 432 divisors, whose sum is σ = 5517622656. Its totient is φ = 306561024.

The previous prime is 1343381759. The next prime is 1343381773. The reversal of 1343381760 is 671833431.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2176972 + ... + 2177588.

Almost surely, 2^1343381760 is an apocalyptic number.

1343381760 is a gapful number since it is divisible by the number (10) 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 1343381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758811328).

1343381760 is an abundant number, since it is smaller than the sum of its proper divisors (4174240896).

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

1343381760 is an frugal number, since it uses more digits than its factorization.

1343381760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 634 counting only the distinct ones).

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

The square root of 1343381760 is about 36652.1726504719. The cubic root of 1343381760 is about 1103.4004305835.

The spelling of 1343381760 in words is "one billion, three hundred forty-three million, three hundred eighty-one thousand, seven hundred sixty".