394208033688 has 480 divisors, whose sum is σ = 1406921788800. Its totient is φ = 102346094592.

The previous prime is 394208033669. The next prime is 394208033719. The reversal of 394208033688 is 886330802493.

It is a happy number.

394208033688 is a `hidden beast` number, since 39 + 420 + 80 + 3 + 36 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15641145 + ... + 15666327.

It is an arithmetic number, because the mean of its divisors is an integer number (2931087060).

Almost surely, 2^394208033688 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 394208033688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703460894400).

394208033688 is an abundant number, since it is smaller than the sum of its proper divisors (1012713755112).

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

394208033688 is a wasteful number, since it uses less digits than its factorization.

394208033688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25261 (or 25241 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 394208033688 in words is "three hundred ninety-four billion, two hundred eight million, thirty-three thousand, six hundred eighty-eight".