1349395200 has 540 divisors, whose sum is σ = 5290260360. Its totient is φ = 338411520.

The previous prime is 1349395189. The next prime is 1349395207. The reversal of 1349395200 is 25939431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1349395207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9849532 + ... + 9849668.

Almost surely, 2^1349395200 is an apocalyptic number.

1349395200 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 1349395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645130180).

1349395200 is an abundant number, since it is smaller than the sum of its proper divisors (3940865160).

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

1349395200 is a wasteful number, since it uses less digits than its factorization.

1349395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1349395200 is about 36734.1149342134. The cubic root of 1349395200 is about 1105.0443803282.

The spelling of 1349395200 in words is "one billion, three hundred forty-nine million, three hundred ninety-five thousand, two hundred".