321341335920 has 480 divisors, whose sum is σ = 1222587582720. Its totient is φ = 77518425600.

The previous prime is 321341335873. The next prime is 321341335921. The reversal of 321341335920 is 29533143123.

321341335920 is a `hidden beast` number, since 3 + 2 + 1 + 34 + 1 + 33 + 592 + 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 (321341335921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55144047 + ... + 55149873.

It is an arithmetic number, because the mean of its divisors is an integer number (2547057464).

Almost surely, 2^321341335920 is an apocalyptic number.

321341335920 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 321341335920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611293791360).

321341335920 is an abundant number, since it is smaller than the sum of its proper divisors (901246246800).

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

321341335920 is a wasteful number, since it uses less digits than its factorization.

321341335920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6082 (or 6059 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 321341335920 in words is "three hundred twenty-one billion, three hundred forty-one million, three hundred thirty-five thousand, nine hundred twenty".