3372283200 has 672 divisors, whose sum is σ = 13810366080. Its totient is φ = 710246400.

The previous prime is 3372283157. The next prime is 3372283259. The reversal of 3372283200 is 23822733.

It is a super-2 number, since 2×3372283200² = 22744587962004480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 198369592 + ... + 198369608.

It is an arithmetic number, because the mean of its divisors is an integer number (20551140).

Almost surely, 2^3372283200 is an apocalyptic number.

3372283200 is a gapful number since it is divisible by the number (30) 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 3372283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905183040).

3372283200 is an abundant number, since it is smaller than the sum of its proper divisors (10438082880).

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

3372283200 is a wasteful number, since it uses less digits than its factorization.

3372283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 3372283200 is about 58071.3629941643. The cubic root of 3372283200 is about 1499.5974030646.

It can be divided in two parts, 33 and 72283200, that multiplied together give a square (2385345600 = 48840²).

The spelling of 3372283200 in words is "three billion, three hundred seventy-two million, two hundred eighty-three thousand, two hundred".