1349701200 has 180 divisors, whose sum is σ = 4793314240. Its totient is φ = 351509760.

The previous prime is 1349701187. The next prime is 1349701201. The reversal of 1349701200 is 21079431.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349701201) 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, 150441 + ... + 159159.

Almost surely, 2^1349701200 is an apocalyptic number.

1349701200 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 1349701200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396657120).

1349701200 is an abundant number, since it is smaller than the sum of its proper divisors (3443613040).

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

1349701200 is a wasteful number, since it uses less digits than its factorization.

1349701200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8786 (or 8772 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1349701200 is about 36738.2797637560. The cubic root of 1349701200 is about 1105.1279036784.

The spelling of 1349701200 in words is "one billion, three hundred forty-nine million, seven hundred one thousand, two hundred".