1347083680 has 48 divisors (see below), whose sum is σ = 3184884360. Its totient is φ = 538427392.

The previous prime is 1347083677. The next prime is 1347083681. The reversal of 1347083680 is 863807431.

It can be written as a sum of positive squares in 4 ways, for example, as 1172103696 + 174979984 = 34236^2 + 13228^2 .

It is a super-3 number, since 3×1347083680³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1347083681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300012 + ... + 304468.

Almost surely, 2^1347083680 is an apocalyptic number.

1347083680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1347083680 is an abundant number, since it is smaller than the sum of its proper divisors (1837800680).

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

1347083680 is a wasteful number, since it uses less digits than its factorization.

1347083680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6361 (or 6353 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 1347083680 is about 36702.6385972453. The cubic root of 1347083680 is about 1104.4130377081.

The spelling of 1347083680 in words is "one billion, three hundred forty-seven million, eighty-three thousand, six hundred eighty".