3320132000 has 96 divisors (see below), whose sum is σ = 8312011344. Its totient is φ = 1302912000.

The previous prime is 3320131999. The next prime is 3320132009. The reversal of 3320132000 is 2310233.

It can be written as a sum of positive squares in 8 ways, for example, as 1180884496 + 2139247504 = 34364^2 + 46252^2 .

It is a super-2 number, since 2×3320132000² = 22046552994848000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3320132009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204170 + ... + 219830.

Almost surely, 2^3320132000 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 3320132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4156005672).

3320132000 is an abundant number, since it is smaller than the sum of its proper divisors (4991879344).

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

3320132000 is a wasteful number, since it uses less digits than its factorization.

3320132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15739 (or 15721 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 3320132000 is about 57620.5865988884. The cubic root of 3320132000 is about 1491.8269558549.

Adding to 3320132000 its reverse (2310233), we get a palindrome (3322442233).

The spelling of 3320132000 in words is "three billion, three hundred twenty million, one hundred thirty-two thousand".