393675934096 has 45 divisors (see below), whose sum is σ = 810341686369. Its totient is φ = 185239185152.

The previous prime is 393675934073. The next prime is 393675934097. The reversal of 393675934096 is 690439576393.

The square root of 393675934096 is 627436.

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., 306495104400 + 87180829696 = 553620^2 + 295264^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (393675934097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42661035 + ... + 42670261.

Almost surely, 2^393675934096 is an apocalyptic number.

393675934096 is the 627436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393675934096

393675934096 is an abundant number, since it is smaller than the sum of its proper divisors (416665752273).

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

393675934096 is an frugal number, since it uses more digits than its factorization.

393675934096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18496 (or 9246 counting only the distinct ones).

The product of its (nonzero) digits is 99202320, while the sum is 64.

Multiplying 393675934096 by its sum of digits (64), we get a square (25195259782144 = 5019488²).

The spelling of 393675934096 in words is "three hundred ninety-three billion, six hundred seventy-five million, nine hundred thirty-four thousand, ninety-six".