1340328600 has 384 divisors, whose sum is σ = 5069467200. Its totient is φ = 323481600.

The previous prime is 1340328559. The next prime is 1340328601. The reversal of 1340328600 is 68230431.

It is a happy number.

1340328600 is a `hidden beast` number, since 1 + 34 + 0 + 3 + 28 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340328601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4282044 + ... + 4282356.

Almost surely, 2^1340328600 is an apocalyptic number.

1340328600 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 1340328600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534733600).

1340328600 is an abundant number, since it is smaller than the sum of its proper divisors (3729138600).

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

1340328600 is a wasteful number, since it uses less digits than its factorization.

1340328600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1340328600 is about 36610.4984942844. The cubic root of 1340328600 is about 1102.5638817166.

The spelling of 1340328600 in words is "one billion, three hundred forty million, three hundred twenty-eight thousand, six hundred".