394617600000 has 1728 divisors, whose sum is σ = 1676795178240. Its totient is φ = 88473600000.

The previous prime is 394617599933. The next prime is 394617600007. The reversal of 394617600000 is 6716493.

394617600000 is a `hidden beast` number, since 3 + 9 + 46 + 1 + 7 + 600 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394617600007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12729599985 + ... + 12729600015.

It is an arithmetic number, because the mean of its divisors is an integer number (970367580).

Almost surely, 2^394617600000 is an apocalyptic number.

394617600000 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 394617600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838397589120).

394617600000 is an abundant number, since it is smaller than the sum of its proper divisors (1282177578240).

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

394617600000 is a wasteful number, since it uses less digits than its factorization.

394617600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 394617600000 in words is "three hundred ninety-four billion, six hundred seventeen million, six hundred thousand".