1348352800 has 36 divisors (see below), whose sum is σ = 3291668226. Its totient is φ = 539340800.

The previous prime is 1348352791. The next prime is 1348352801. The reversal of 1348352800 is 82538431.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 990235024 + 358117776 = 31468^2 + 18924^2 .

It is not an unprimeable number, because it can be changed into a prime (1348352801) 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 5 ways as a sum of consecutive naturals, for example, 841921 + ... + 843520.

Almost surely, 2^1348352800 is an apocalyptic number.

1348352800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1348352800 is an abundant number, since it is smaller than the sum of its proper divisors (1943315426).

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

1348352800 is a wasteful number, since it uses less digits than its factorization.

1348352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685461 (or 1685448 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 1348352800 is about 36719.9237471975. The cubic root of 1348352800 is about 1104.7597602255.

The spelling of 1348352800 in words is "one billion, three hundred forty-eight million, three hundred fifty-two thousand, eight hundred".