3321112410 has 288 divisors, whose sum is σ = 11423018880. Its totient is φ = 653495040.

The previous prime is 3321112409. The next prime is 3321112433. The reversal of 3321112410 is 142111233.

3321112410 is a `hidden beast` number, since 33 + 211 + 12 + 410 = 666.

It is a super-2 number, since 2×3321112410² = 22059575279712016200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1447224 + ... + 1449516.

It is an arithmetic number, because the mean of its divisors is an integer number (39663260).

Almost surely, 2^3321112410 is an apocalyptic number.

3321112410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3321112410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711509440).

3321112410 is an abundant number, since it is smaller than the sum of its proper divisors (8101906470).

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

3321112410 is a wasteful number, since it uses less digits than its factorization.

3321112410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3321112410 is about 57629.0934337857. The cubic root of 3321112410 is about 1491.9737831622.

Adding to 3321112410 its reverse (142111233), we get a palindrome (3463223643).

The spelling of 3321112410 in words is "three billion, three hundred twenty-one million, one hundred twelve thousand, four hundred ten".