1346288240 has 80 divisors (see below), whose sum is σ = 3420290016. Its totient is φ = 488755200.

The previous prime is 1346288227. The next prime is 1346288261. The reversal of 1346288240 is 428826431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1346288194 and 1346288203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 908300 + ... + 909780.

Almost surely, 2^1346288240 is an apocalyptic number.

1346288240 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 1346288240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710145008).

1346288240 is an abundant number, since it is smaller than the sum of its proper divisors (2074001776).

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

1346288240 is a wasteful number, since it uses less digits than its factorization.

1346288240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 1346288240 is about 36691.8007189617. The cubic root of 1346288240 is about 1104.1956131362.

The spelling of 1346288240 in words is "one billion, three hundred forty-six million, two hundred eighty-eight thousand, two hundred forty".