3321100020444 has 192 divisors, whose sum is σ = 8817867620352. Its totient is φ = 967608115200.

The previous prime is 3321100020431. The next prime is 3321100020451. The reversal of 3321100020444 is 4440200011233.

It is a super-2 number, since 2×3321100020444² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16983909 + ... + 17178339.

It is an arithmetic number, because the mean of its divisors is an integer number (45926393856).

Almost surely, 2^{3321100020444} is an apocalyptic number.

3321100020444 is a gapful number since it is divisible by the number (34) 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 3321100020444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408933810176).

3321100020444 is an abundant number, since it is smaller than the sum of its proper divisors (5496767599908).

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

3321100020444 is a wasteful number, since it uses less digits than its factorization.

3321100020444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194596 (or 194594 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3321100020444 its reverse (4440200011233), we get a palindrome (7761300031677).

The spelling of 3321100020444 in words is "three trillion, three hundred twenty-one billion, one hundred million, twenty thousand, four hundred forty-four".