320434286400 has 504 divisors, whose sum is σ = 1186580304000. Its totient is φ = 81943142400.

The previous prime is 320434286383. The next prime is 320434286423. The reversal of 320434286400 is 4682434023.

320434286400 is a `hidden beast` number, since 3 + 2 + 0 + 4 + 3 + 4 + 2 + 8 + 640 + 0 = 666.

320434286400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34829001 + ... + 34838199.

It is an arithmetic number, because the mean of its divisors is an integer number (2354326000).

Almost surely, 2^320434286400 is an apocalyptic number.

320434286400 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 320434286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593290152000).

320434286400 is an abundant number, since it is smaller than the sum of its proper divisors (866146017600).

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

320434286400 is a wasteful number, since it uses less digits than its factorization.

320434286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9327 (or 9309 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 320434286400 in words is "three hundred twenty billion, four hundred thirty-four million, two hundred eighty-six thousand, four hundred".