1344252672 has 360 divisors, whose sum is σ = 4694700080. Its totient is φ = 384072192.

The previous prime is 1344252653. The next prime is 1344252673. The reversal of 1344252672 is 2762524431.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1344252672 is a `hidden beast` number, since 1 + 344 + 252 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (80640) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (1344252673) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 192036093 + ... + 192036099.

Almost surely, 2^1344252672 is an apocalyptic number.

1344252672 is a gapful number since it is divisible by the number (12) 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 1344252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347350040).

1344252672 is an abundant number, since it is smaller than the sum of its proper divisors (3350447408).

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

1344252672 is an frugal number, since it uses more digits than its factorization.

1344252672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 12 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 1344252672 is about 36664.0514946180. The cubic root of 1344252672 is about 1103.6388232517.

It can be divided in two parts, 1344 and 252672, that added together give a square (254016 = 504²).

The spelling of 1344252672 in words is "one billion, three hundred forty-four million, two hundred fifty-two thousand, six hundred seventy-two".