1344461600 has 144 divisors (see below), whose sum is σ = 3438483048. Its totient is φ = 512778240.

The previous prime is 1344461581. The next prime is 1344461611. The reversal of 1344461600 is 61644431.

It can be written as a sum of positive squares in 12 ways, for example, as 756690064 + 587771536 = 27508^2 + 24244^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1568372 + ... + 1569228.

Almost surely, 2^1344461600 is an apocalyptic number.

1344461600 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 1344461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719241524).

1344461600 is an abundant number, since it is smaller than the sum of its proper divisors (2094021448).

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

1344461600 is a wasteful number, since it uses less digits than its factorization.

1344461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 1344461600 is about 36666.9006053143. The cubic root of 1344461600 is about 1103.6959973014.

The spelling of 1344461600 in words is "one billion, three hundred forty-four million, four hundred sixty-one thousand, six hundred".