321934464 has 192 divisors, whose sum is σ = 972011040. Its totient is φ = 102187008.

The previous prime is 321934451. The next prime is 321934471. The reversal of 321934464 is 464439123.

It is a happy number.

321934464 is a `hidden beast` number, since 3 + 2 + 193 + 4 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×321934464² = 207283598221934592, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3318864 + ... + 3318960.

Almost surely, 2^321934464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486005520).

321934464 is an abundant number, since it is smaller than the sum of its proper divisors (650076576).

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

321934464 is a wasteful number, since it uses less digits than its factorization.

321934464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 321934464 is about 17942.5322627549. The cubic root of 321934464 is about 685.3658968346.

The spelling of 321934464 in words is "three hundred twenty-one million, nine hundred thirty-four thousand, four hundred sixty-four".