3372133600 has 144 divisors (see below), whose sum is σ = 9509297616. Its totient is φ = 1154048000.

The previous prime is 3372133579. The next prime is 3372133627. The reversal of 3372133600 is 63312733.

It is a super-2 number, since 2×3372133600² = 22742570032497920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138330 + ... + 160870.

It is an arithmetic number, because the mean of its divisors is an integer number (66036789).

Almost surely, 2^3372133600 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 3372133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754648808).

3372133600 is an abundant number, since it is smaller than the sum of its proper divisors (6137164016).

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

3372133600 is a wasteful number, since it uses less digits than its factorization.

3372133600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22589 (or 22576 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 28.

The square root of 3372133600 is about 58070.0749095436. The cubic root of 3372133600 is about 1499.5752278719.

It can be divided in two parts, 3372133 and 600, that added together give a palindrome (3372733).

The spelling of 3372133600 in words is "three billion, three hundred seventy-two million, one hundred thirty-three thousand, six hundred".