1344688900 has 81 divisors (see below), whose sum is σ = 3095674911. Its totient is φ = 506926080.

The previous prime is 1344688897. The next prime is 1344688909. The reversal of 1344688900 is 98864431.

The square root of 1344688900 is 36670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 216266436 + 1128422464 = 14706^2 + 33592^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1344688909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6967204 + ... + 6967396.

Almost surely, 2^1344688900 is an apocalyptic number.

1344688900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1344688900 is the 36670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344688900

1344688900 is an abundant number, since it is smaller than the sum of its proper divisors (1750986011).

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

1344688900 is a wasteful number, since it uses less digits than its factorization.

1344688900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The cubic root of 1344688900 is about 1103.7581922013.

The spelling of 1344688900 in words is "one billion, three hundred forty-four million, six hundred eighty-eight thousand, nine hundred".