1346830200 has 192 divisors, whose sum is σ = 4883616000. Its totient is φ = 340225920.

The previous prime is 1346830153. The next prime is 1346830211. The reversal of 1346830200 is 20386431.

It is a happy number.

It is a super-3 number, since 3×1346830200³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 96037 + ... + 109163.

It is an arithmetic number, because the mean of its divisors is an integer number (25435500).

Almost surely, 2^1346830200 is an apocalyptic number.

1346830200 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 1346830200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441808000).

1346830200 is an abundant number, since it is smaller than the sum of its proper divisors (3536785800).

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

1346830200 is a wasteful number, since it uses less digits than its factorization.

1346830200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13171 (or 13156 counting only the distinct ones).

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

The square root of 1346830200 is about 36699.1852770603. The cubic root of 1346830200 is about 1104.3437610968.

The spelling of 1346830200 in words is "one billion, three hundred forty-six million, eight hundred thirty thousand, two hundred".