34393927936 has 81 divisors (see below), whose sum is σ = 70098658581. Its totient is φ = 16842372096.

The previous prime is 34393927921. The next prime is 34393927937. The reversal of 34393927936 is 63972939343.

The square root of 34393927936 is 185456.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31286534400 + 3107393536 = 176880^2 + 55744^2 .

It is a super-2 number, since 2×34393927936² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34393927937) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 198808746 + ... + 198808918.

Almost surely, 2^34393927936 is an apocalyptic number.

34393927936 is the 185456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34393927936

34393927936 is an abundant number, since it is smaller than the sum of its proper divisors (35704730645).

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

34393927936 is an frugal number, since it uses more digits than its factorization.

34393927936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 242 counting only the distinct ones).

The product of its digits is 19840464, while the sum is 58.

The spelling of 34393927936 in words is "thirty-four billion, three hundred ninety-three million, nine hundred twenty-seven thousand, nine hundred thirty-six".