1352786320 has 80 divisors (see below), whose sum is σ = 3324608640. Its totient is φ = 510492672.

The previous prime is 1352786311. The next prime is 1352786353. The reversal of 1352786320 is 236872531.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1352786320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388909 + ... + 392371.

It is an arithmetic number, because the mean of its divisors is an integer number (41557608).

Almost surely, 2^1352786320 is an apocalyptic number.

1352786320 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 1352786320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662304320).

1352786320 is an abundant number, since it is smaller than the sum of its proper divisors (1971822320).

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

1352786320 is a wasteful number, since it uses less digits than its factorization.

1352786320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 1352786320 is about 36780.2436098512. The cubic root of 1352786320 is about 1105.9692893469.

The spelling of 1352786320 in words is "one billion, three hundred fifty-two million, seven hundred eighty-six thousand, three hundred twenty".