1352783768 has 64 divisors (see below), whose sum is σ = 2967360000. Its totient is φ = 577928736.

The previous prime is 1352783759. The next prime is 1352783777. The reversal of 1352783768 is 8673872531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1352783759) and next prime (1352783777).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 14.

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, 1204055 + ... + 1205177.

It is an arithmetic number, because the mean of its divisors is an integer number (46365000).

Almost surely, 2^1352783768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352783768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483680000).

1352783768 is an abundant number, since it is smaller than the sum of its proper divisors (1614576232).

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

1352783768 is a wasteful number, since it uses less digits than its factorization.

1352783768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1571 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 50.

The square root of 1352783768 is about 36780.2089172968. The cubic root of 1352783768 is about 1105.9685938847.

The spelling of 1352783768 in words is "one billion, three hundred fifty-two million, seven hundred eighty-three thousand, seven hundred sixty-eight".