1344245760 has 832 divisors, whose sum is σ = 5944700160. Its totient is φ = 283115520.

The previous prime is 1344245759. The next prime is 1344245783. The reversal of 1344245760 is 675424431.

1344245760 is a `hidden beast` number, since 1 + 344 + 245 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79073272 + ... + 79073288.

Almost surely, 2^1344245760 is an apocalyptic number.

1344245760 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 1344245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972350080).

1344245760 is an abundant number, since it is smaller than the sum of its proper divisors (4600454400).

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

1344245760 is a wasteful number, since it uses less digits than its factorization.

1344245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 51 counting only the distinct ones).

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

The square root of 1344245760 is about 36663.9572332284. The cubic root of 1344245760 is about 1103.6369316519.

The spelling of 1344245760 in words is "one billion, three hundred forty-four million, two hundred forty-five thousand, seven hundred sixty".