1344066100 has 144 divisors (see below), whose sum is σ = 3258291456. Its totient is φ = 478080000.

The previous prime is 1344066091. The next prime is 1344066127. The reversal of 1344066100 is 16604431.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8048217 + ... + 8048383.

It is an arithmetic number, because the mean of its divisors is an integer number (22627024).

Almost surely, 2^1344066100 is an apocalyptic number.

1344066100 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 1344066100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629145728).

1344066100 is an abundant number, since it is smaller than the sum of its proper divisors (1914225356).

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

1344066100 is a wasteful number, since it uses less digits than its factorization.

1344066100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1344066100 is about 36661.5070612216. The cubic root of 1344066100 is about 1103.5877620106.

The spelling of 1344066100 in words is "one billion, three hundred forty-four million, sixty-six thousand, one hundred".