1343830400 has 96 divisors (see below), whose sum is σ = 3621565080. Its totient is φ = 488652800.

The previous prime is 1343830381. The next prime is 1343830429. The reversal of 1343830400 is 40383431.

It is a self number, because there is not a number n which added to its sum of digits gives 1343830400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16112 + ... + 54288.

Almost surely, 2^1343830400 is an apocalyptic number.

1343830400 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 1343830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810782540).

1343830400 is an abundant number, since it is smaller than the sum of its proper divisors (2277734680).

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

1343830400 is a wasteful number, since it uses less digits than its factorization.

1343830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38212 (or 38195 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 1343830400 is about 36658.2923770325. The cubic root of 1343830400 is about 1103.5232486056.

The spelling of 1343830400 in words is "one billion, three hundred forty-three million, eight hundred thirty thousand, four hundred".