3330444100 has 81 divisors (see below), whose sum is σ = 7522667607. Its totient is φ = 1279776960.

The previous prime is 3330444083. The next prime is 3330444101. The reversal of 3330444100 is 14440333.

The square root of 3330444100 is 57710.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 45778756 + 3284665344 = 6766^2 + 57312^2 .

It is a super-2 number, since 2×3330444100² = 22183715806449620000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3330444101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16735801 + ... + 16735999.

Almost surely, 2^3330444100 is an apocalyptic number.

3330444100 is the 57710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3330444100

3330444100 is an abundant number, since it is smaller than the sum of its proper divisors (4192223507).

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

3330444100 is a wasteful number, since it uses less digits than its factorization.

3330444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The cubic root of 3330444100 is about 1493.3698632956.

Adding to 3330444100 its reverse (14440333), we get a palindrome (3344884433).

The spelling of 3330444100 in words is "three billion, three hundred thirty million, four hundred forty-four thousand, one hundred".