320031972 has 288 divisors, whose sum is σ = 1004523520. Its totient is φ = 88179840.

The previous prime is 320031949. The next prime is 320031973. The reversal of 320031972 is 279130023.

It is a super-3 number, since 3×320031972³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320031973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7442583 + ... + 7442625.

Almost surely, 2^320031972 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 320031972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502261760).

320031972 is an abundant number, since it is smaller than the sum of its proper divisors (684491548).

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

320031972 is a wasteful number, since it uses less digits than its factorization.

320031972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 320031972 is about 17889.4374422451. The cubic root of 320031972 is about 684.0131576416.

Adding to 320031972 its reverse (279130023), we get a palindrome (599161995).

The spelling of 320031972 in words is "three hundred twenty million, thirty-one thousand, nine hundred seventy-two".