1344332000 has 96 divisors (see below), whose sum is σ = 3603416544. Its totient is φ = 488832000.

The previous prime is 1344331997. The next prime is 1344332009. The reversal of 1344332000 is 2334431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344332009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28724 + ... + 59276.

It is an arithmetic number, because the mean of its divisors is an integer number (37535589).

Almost surely, 2^1344332000 is an apocalyptic number.

1344332000 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 1344332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801708272).

1344332000 is an abundant number, since it is smaller than the sum of its proper divisors (2259084544).

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

1344332000 is a wasteful number, since it uses less digits than its factorization.

1344332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30589 (or 30571 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1344332000 is about 36665.1333012714. The cubic root of 1344332000 is about 1103.6605323992.

Adding to 1344332000 its reverse (2334431), we get a palindrome (1346666431).

The spelling of 1344332000 in words is "one billion, three hundred forty-four million, three hundred thirty-two thousand".