1344376800 has 432 divisors, whose sum is σ = 5220790848. Its totient is φ = 323481600.

The previous prime is 1344376799. The next prime is 1344376801. The reversal of 1344376800 is 86734431.

It is an interprime number because it is at equal distance from previous prime (1344376799) and next prime (1344376801).

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 (1344376801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4960665 + ... + 4960935.

It is an arithmetic number, because the mean of its divisors is an integer number (12085164).

Almost surely, 2^1344376800 is an apocalyptic number.

1344376800 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 1344376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610395424).

1344376800 is an abundant number, since it is smaller than the sum of its proper divisors (3876414048).

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

1344376800 is a wasteful number, since it uses less digits than its factorization.

1344376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1344376800 is about 36665.7442308212. The cubic root of 1344376800 is about 1103.6727921294.

The spelling of 1344376800 in words is "one billion, three hundred forty-four million, three hundred seventy-six thousand, eight hundred".