332032032 has 144 divisors (see below), whose sum is σ = 1014544440. Its totient is φ = 102629376.

The previous prime is 332032031. The next prime is 332032037. The reversal of 332032032 is 230230233.

It can be written as a sum of positive squares in 4 ways, for example, as 245987856 + 86044176 = 15684^2 + 9276^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×332032032² = 220490540548098048, 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 = 332031996 and 332032014.

It is not an unprimeable number, because it can be changed into a prime (332032031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356944 + ... + 357872.

Almost surely, 2^332032032 is an apocalyptic number.

332032032 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 332032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507272220).

332032032 is an abundant number, since it is smaller than the sum of its proper divisors (682512408).

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

332032032 is a wasteful number, since it uses less digits than its factorization.

332032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 332032032 is about 18221.7461292819. The cubic root of 332032032 is about 692.4578257190.

Adding to 332032032 its reverse (230230233), we get a palindrome (562262265).

The spelling of 332032032 in words is "three hundred thirty-two million, thirty-two thousand, thirty-two".