321340032 has 192 divisors, whose sum is σ = 1021020000. Its totient is φ = 96380928.

The previous prime is 321340031. The next prime is 321340037. The reversal of 321340032 is 230043123.

321340032 is a `hidden beast` number, since 321 + 340 + 0 + 3 + 2 = 666.

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

It is a super-2 number, since 2×321340032² = 206518832331522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 321339987 and 321340014.

It is not an unprimeable number, because it can be changed into a prime (321340031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643719 + ... + 644217.

Almost surely, 2^321340032 is an apocalyptic number.

321340032 is a gapful number since it is divisible by the number (32) 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 321340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510510000).

321340032 is an abundant number, since it is smaller than the sum of its proper divisors (699679968).

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

321340032 is a wasteful number, since it uses less digits than its factorization.

321340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 321340032 is about 17925.9597232617. The cubic root of 321340032 is about 684.9438084157.

Adding to 321340032 its reverse (230043123), we get a palindrome (551383155).

The spelling of 321340032 in words is "three hundred twenty-one million, three hundred forty thousand, thirty-two".