3321844992 has 216 divisors, whose sum is σ = 10093321056. Its totient is φ = 1089386496.

The previous prime is 3321844961. The next prime is 3321845011. The reversal of 3321844992 is 2994481233.

3321844992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×3321844992² = 22069308301750960128, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 4167538 + ... + 4168334.

Almost surely, 2^3321844992 is an apocalyptic number.

3321844992 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 3321844992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5046660528).

3321844992 is an abundant number, since it is smaller than the sum of its proper divisors (6771476064).

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

3321844992 is an frugal number, since it uses more digits than its factorization.

3321844992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 869 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 3321844992 is about 57635.4490916831. The cubic root of 3321844992 is about 1492.0834766070.

It can be divided in two parts, 33218 and 44992, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 3321844992 in words is "three billion, three hundred twenty-one million, eight hundred forty-four thousand, nine hundred ninety-two".