3332122320 has 160 divisors (see below), whose sum is σ = 10648818432. Its totient is φ = 861290496.

The previous prime is 3332122273. The next prime is 3332122363. The reversal of 3332122320 is 232212333.

It is a super-3 number, since 3×3332122320³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3134109 + ... + 3135171.

Almost surely, 2^3332122320 is an apocalyptic number.

3332122320 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 3332122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5324409216).

3332122320 is an abundant number, since it is smaller than the sum of its proper divisors (7316696112).

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

3332122320 is a wasteful number, since it uses less digits than its factorization.

3332122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3332122320 is about 57724.5382831253. The cubic root of 3332122320 is about 1493.6206589106.

Adding to 3332122320 its reverse (232212333), we get a palindrome (3564334653).

The spelling of 3332122320 in words is "three billion, three hundred thirty-two million, one hundred twenty-two thousand, three hundred twenty".