394335849600 has 2304 divisors, whose sum is σ = 1894164480000. Its totient is φ = 77220864000.

The previous prime is 394335849563. The next prime is 394335849601. The reversal of 394335849600 is 6948533493.

It is not an unprimeable number, because it can be changed into a prime (394335849601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2064585505 + ... + 2064585695.

It is an arithmetic number, because the mean of its divisors is an integer number (822120000).

Almost surely, 2^394335849600 is an apocalyptic number.

394335849600 is a gapful number since it is divisible by the number (30) 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 394335849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947082240000).

394335849600 is an abundant number, since it is smaller than the sum of its proper divisors (1499828630400).

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

394335849600 is a wasteful number, since it uses less digits than its factorization.

394335849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 394335849600 in words is "three hundred ninety-four billion, three hundred thirty-five million, eight hundred forty-nine thousand, six hundred".