332320032 has 144 divisors (see below), whose sum is σ = 1085404320. Its totient is φ = 95385600.

The previous prime is 332320003. The next prime is 332320049. The reversal of 332320032 is 230023233.

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

It is a super-2 number, since 2×332320032² = 220873207336962048, 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 = 332319987 and 332320014.

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, 57432 + ... + 62952.

It is an arithmetic number, because the mean of its divisors is an integer number (7537530).

Almost surely, 2^332320032 is an apocalyptic number.

332320032 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 332320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542702160).

332320032 is an abundant number, since it is smaller than the sum of its proper divisors (753084288).

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

332320032 is a wasteful number, since it uses less digits than its factorization.

332320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5567 (or 5556 counting only the distinct ones).

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

The square root of 332320032 is about 18229.6470618605. The cubic root of 332320032 is about 692.6579773129.

Adding to 332320032 its reverse (230023233), we get a palindrome (562343265).

The spelling of 332320032 in words is "three hundred thirty-two million, three hundred twenty thousand, thirty-two".