1348200000 has 504 divisors, whose sum is σ = 5571768384. Its totient is φ = 305280000.

The previous prime is 1348199987. The next prime is 1348200001. The reversal of 1348200000 is 28431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1348200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12599947 + ... + 12600053.

It is an arithmetic number, because the mean of its divisors is an integer number (11055096).

Almost surely, 2^1348200000 is an apocalyptic number.

1348200000 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 1348200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785884192).

1348200000 is an abundant number, since it is smaller than the sum of its proper divisors (4223568384).

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

1348200000 is an equidigital number, since it uses as much as digits as its factorization.

1348200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1348200000 is about 36717.8430739062. The cubic root of 1348200000 is about 1104.7180269175.

Adding to 1348200000 its reverse (28431), we get a palindrome (1348228431).

The spelling of 1348200000 in words is "one billion, three hundred forty-eight million, two hundred thousand".