1343338128 has 240 divisors, whose sum is σ = 4380275200. Its totient is φ = 393465600.

The previous prime is 1343338121. The next prime is 1343338153. The reversal of 1343338128 is 8218333431.

It is a super-2 number, since 2×1343338128² = 3609114652277088768, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1343338092 and 1343338101.

It is not an unprimeable number, because it can be changed into a prime (1343338121) 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 47 ways as a sum of consecutive naturals, for example, 1620018 + ... + 1620846.

Almost surely, 2^1343338128 is an apocalyptic number.

1343338128 is a gapful number since it is divisible by the number (18) 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 1343338128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190137600).

1343338128 is an abundant number, since it is smaller than the sum of its proper divisors (3036937072).

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

1343338128 is a wasteful number, since it uses less digits than its factorization.

1343338128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 876 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1343338128 is about 36651.5774285364. The cubic root of 1343338128 is about 1103.3884845901.

The spelling of 1343338128 in words is "one billion, three hundred forty-three million, three hundred thirty-eight thousand, one hundred twenty-eight".