1344349800 has 144 divisors (see below), whose sum is σ = 4780458540. Its totient is φ = 337397760.

The previous prime is 1344349733. The next prime is 1344349801. The reversal of 1344349800 is 89434431.

1344349800 is a `hidden beast` number, since 134 + 434 + 98 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 305061156 + 1039288644 = 17466^2 + 32238^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1344349801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8634 + ... + 52566.

Almost surely, 2^1344349800 is an apocalyptic number.

1344349800 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 1344349800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390229270).

1344349800 is an abundant number, since it is smaller than the sum of its proper divisors (3436108740).

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

1344349800 is a wasteful number, since it uses less digits than its factorization.

1344349800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43972 (or 43960 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1344349800 is about 36665.3760378917. The cubic root of 1344349800 is about 1103.6654034853.

The spelling of 1344349800 in words is "one billion, three hundred forty-four million, three hundred forty-nine thousand, eight hundred".