1349668800 has 252 divisors, whose sum is σ = 5050541080. Its totient is φ = 340899840.

The previous prime is 1349668769. The next prime is 1349668807. The reversal of 1349668800 is 88669431.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349668807) 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 35 ways as a sum of consecutive naturals, for example, 271134 + ... + 276066.

Almost surely, 2^1349668800 is an apocalyptic number.

1349668800 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 1349668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525270540).

1349668800 is an abundant number, since it is smaller than the sum of its proper divisors (3700872280).

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

1349668800 is a wasteful number, since it uses less digits than its factorization.

1349668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980 (or 4962 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1349668800 is about 36737.8388041540. The cubic root of 1349668800 is about 1105.1190606271.

The spelling of 1349668800 in words is "one billion, three hundred forty-nine million, six hundred sixty-eight thousand, eight hundred".