3332525120 has 56 divisors (see below), whose sum is σ = 7964030808. Its totient is φ = 1328230400.

The previous prime is 3332525101. The next prime is 3332525129. The reversal of 3332525120 is 215252333.

It can be written as a sum of positive squares in 4 ways, for example, as 1196606464 + 2135918656 = 34592^2 + 46216^2 .

It is a super-2 number, since 2×3332525120² = 22211447350862028800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3332525120.

It is not an unprimeable number, because it can be changed into a prime (3332525129) 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 7 ways as a sum of consecutive naturals, for example, 71390 + ... + 108450.

Almost surely, 2^3332525120 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 3332525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3982015404).

3332525120 is an abundant number, since it is smaller than the sum of its proper divisors (4631505688).

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

3332525120 is a wasteful number, since it uses less digits than its factorization.

3332525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37359 (or 37349 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 3332525120 is about 57728.0271618561. The cubic root of 3332525120 is about 1493.6808413912.

Adding to 3332525120 its reverse (215252333), we get a palindrome (3547777453).

The spelling of 3332525120 in words is "three billion, three hundred thirty-two million, five hundred twenty-five thousand, one hundred twenty".