3322229760 has 264 divisors, whose sum is σ = 12191457096. Its totient is φ = 833617920.

The previous prime is 3322229759. The next prime is 3322229803. The reversal of 3322229760 is 679222233.

It can be written as a sum of positive squares in 4 ways, for example, as 1711973376 + 1610256384 = 41376^2 + 40128^2 .

It is a super-2 number, since 2×3322229760² = 22074421156459315200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781240 + ... + 785480.

Almost surely, 2^3322229760 is an apocalyptic number.

3322229760 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 3322229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6095728548).

3322229760 is an abundant number, since it is smaller than the sum of its proper divisors (8869227336).

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

3322229760 is a wasteful number, since it uses less digits than its factorization.

3322229760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3322229760 is about 57638.7869407398. The cubic root of 3322229760 is about 1492.1410835304.

The spelling of 3322229760 in words is "three billion, three hundred twenty-two million, two hundred twenty-nine thousand, seven hundred sixty".