1349082720 has 144 divisors (see below), whose sum is σ = 4613302512. Its totient is φ = 359009280.

The previous prime is 1349082677. The next prime is 1349082767. The reversal of 1349082720 is 272809431.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1270990 + ... + 1272050.

It is an arithmetic number, because the mean of its divisors is an integer number (32036823).

Almost surely, 2^1349082720 is an apocalyptic number.

1349082720 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 1349082720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306651256).

1349082720 is an abundant number, since it is smaller than the sum of its proper divisors (3264219792).

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

1349082720 is a wasteful number, since it uses less digits than its factorization.

1349082720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1349082720 is about 36729.8614209202. The cubic root of 1349082720 is about 1104.9590752163.

The spelling of 1349082720 in words is "one billion, three hundred forty-nine million, eighty-two thousand, seven hundred twenty".