394128346320 has 320 divisors, whose sum is σ = 1365688304640. Its totient is φ = 104473354752.

The previous prime is 394128346303. The next prime is 394128346333. The reversal of 394128346320 is 23643821493.

394128346320 is a `hidden beast` number, since 3 + 9 + 4 + 1 + 2 + 8 + 3 + 4 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 332036767 + ... + 332037953.

It is an arithmetic number, because the mean of its divisors is an integer number (4267775952).

Almost surely, 2^394128346320 is an apocalyptic number.

394128346320 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 394128346320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682844152320).

394128346320 is an abundant number, since it is smaller than the sum of its proper divisors (971559958320).

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

394128346320 is a wasteful number, since it uses less digits than its factorization.

394128346320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 394128346320 in words is "three hundred ninety-four billion, one hundred twenty-eight million, three hundred forty-six thousand, three hundred twenty".