8350013952 has 400 divisors, whose sum is σ = 29113761600. Its totient is φ = 2381654016.

The previous prime is 8350013933. The next prime is 8350013989. The reversal of 8350013952 is 2593100538.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14224603 + ... + 14225189.

It is an arithmetic number, because the mean of its divisors is an integer number (72784404).

Almost surely, 2^8350013952 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 8350013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14556880800).

8350013952 is an abundant number, since it is smaller than the sum of its proper divisors (20763747648).

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

8350013952 is an frugal number, since it uses more digits than its factorization.

8350013952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 8350013952 is about 91378.4107544008. The cubic root of 8350013952 is about 2028.7524955125.

The spelling of 8350013952 in words is "eight billion, three hundred fifty million, thirteen thousand, nine hundred fifty-two".