1347113680 has 320 divisors, whose sum is σ = 3908321280. Its totient is φ = 425779200.

The previous prime is 1347113639. The next prime is 1347113681. The reversal of 1347113680 is 863117431.

It is a super-3 number, since 3×1347113680³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1347113681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11921304 + ... + 11921416.

It is an arithmetic number, because the mean of its divisors is an integer number (12213504).

Almost surely, 2^1347113680 is an apocalyptic number.

1347113680 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 1347113680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954160640).

1347113680 is an abundant number, since it is smaller than the sum of its proper divisors (2561207600).

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

1347113680 is a wasteful number, since it uses less digits than its factorization.

1347113680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 1347113680 is about 36703.0472849326. The cubic root of 1347113680 is about 1104.4212361954.

The spelling of 1347113680 in words is "one billion, three hundred forty-seven million, one hundred thirteen thousand, six hundred eighty".