1347840000 has 600 divisors, whose sum is σ = 5417742330. Its totient is φ = 331776000.

The previous prime is 1347839981. The next prime is 1347840001. The reversal of 1347840000 is 487431.

It can be written as a sum of positive squares in 5 ways, for example, as 10036224 + 1337803776 = 3168^2 + 36576^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1560 × 600 × 1440.

It is not an unprimeable number, because it can be changed into a prime (1347840001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 103679994 + ... + 103680006.

Almost surely, 2^1347840000 is an apocalyptic number.

1347840000 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 1347840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708871165).

1347840000 is an abundant number, since it is smaller than the sum of its proper divisors (4069902330).

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

1347840000 is an frugal number, since it uses more digits than its factorization.

1347840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1347840000 is about 36712.9404978681. The cubic root of 1347840000 is about 1104.6196899019.

The spelling of 1347840000 in words is "one billion, three hundred forty-seven million, eight hundred forty thousand".