1344644928 has 336 divisors, whose sum is σ = 4459224000. Its totient is φ = 396887040.

The previous prime is 1344644893. The next prime is 1344644941. The reversal of 1344644928 is 8294464431.

It is a super-2 number, since 2×1344644928² = 3616139964792250368, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 12336138 + ... + 12336246.

It is an arithmetic number, because the mean of its divisors is an integer number (13271500).

Almost surely, 2^1344644928 is an apocalyptic number.

1344644928 is a gapful number since it is divisible by the number (18) 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 1344644928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229612000).

1344644928 is an abundant number, since it is smaller than the sum of its proper divisors (3114579072).

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

1344644928 is a wasteful number, since it uses less digits than its factorization.

1344644928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 184 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 1344644928 is about 36669.4004314224. The cubic root of 1344644928 is about 1103.7461609218.

The spelling of 1344644928 in words is "one billion, three hundred forty-four million, six hundred forty-four thousand, nine hundred twenty-eight".