1329850368 has 288 divisors, whose sum is σ = 4793705280. Its totient is φ = 345047040.

The previous prime is 1329850339. The next prime is 1329850393. The reversal of 1329850368 is 8630589231.

It is a happy number.

1329850368 is a `hidden beast` number, since 132 + 9 + 8 + 503 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1418796 + ... + 1419732.

It is an arithmetic number, because the mean of its divisors is an integer number (16644810).

Almost surely, 2^1329850368 is an apocalyptic number.

1329850368 is a gapful number since it is divisible by the number (18) 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 1329850368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396852640).

1329850368 is an abundant number, since it is smaller than the sum of its proper divisors (3463854912).

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

1329850368 is a wasteful number, since it uses less digits than its factorization.

1329850368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1329850368 is about 36467.1135134110. The cubic root of 1329850368 is about 1099.6832057434.

The spelling of 1329850368 in words is "one billion, three hundred twenty-nine million, eight hundred fifty thousand, three hundred sixty-eight".