1344945600 has 336 divisors, whose sum is σ = 4958730240. Its totient is φ = 354585600.

The previous prime is 1344945587. The next prime is 1344945601. The reversal of 1344945600 is 65494431.

1344945600 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 9 + 45 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344945601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7041505 + ... + 7041695.

Almost surely, 2^1344945600 is an apocalyptic number.

1344945600 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 1344945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479365120).

1344945600 is an abundant number, since it is smaller than the sum of its proper divisors (3613784640).

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

1344945600 is a wasteful number, since it uses less digits than its factorization.

1344945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1344945600 is about 36673.4999693239. The cubic root of 1344945600 is about 1103.8284232415.

It can be divided in two parts, 13449 and 45600, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 1344945600 in words is "one billion, three hundred forty-four million, nine hundred forty-five thousand, six hundred".