3322123072 has 112 divisors (see below), whose sum is σ = 7056882000. Its totient is φ = 1548861440.

The previous prime is 3322123067. The next prime is 3322123121. The reversal of 3322123072 is 2703212233.

It can be written as a sum of positive squares in 8 ways, for example, as 147476736 + 3174646336 = 12144^2 + 56344^2 .

It is a super-2 number, since 2×3322123072² = 22073003411029434368, 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11338158 + ... + 11338450.

It is an arithmetic number, because the mean of its divisors is an integer number (63007875).

Almost surely, 2^3322123072 is an apocalyptic number.

3322123072 is a gapful number since it is divisible by the number (32) 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 3322123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528441000).

3322123072 is an abundant number, since it is smaller than the sum of its proper divisors (3734758928).

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

3322123072 is a wasteful number, since it uses less digits than its factorization.

3322123072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 3322123072 is about 57637.8614454076. The cubic root of 3322123072 is about 1492.1251107989.

The spelling of 3322123072 in words is "three billion, three hundred twenty-two million, one hundred twenty-three thousand, seventy-two".