1344409300 has 144 divisors (see below), whose sum is σ = 3359784960. Its totient is φ = 462551040.

The previous prime is 1344409279. The next prime is 1344409309. The reversal of 1344409300 is 39044431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344409309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2806461 + ... + 2806939.

It is an arithmetic number, because the mean of its divisors is an integer number (23331840).

Almost surely, 2^1344409300 is an apocalyptic number.

1344409300 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 1344409300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679892480).

1344409300 is an abundant number, since it is smaller than the sum of its proper divisors (2015375660).

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

1344409300 is a wasteful number, since it uses less digits than its factorization.

1344409300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 1344409300 is about 36666.1874211105. The cubic root of 1344409300 is about 1103.6816857363.

The spelling of 1344409300 in words is "one billion, three hundred forty-four million, four hundred nine thousand, three hundred".