3322414342140 has 192 divisors, whose sum is σ = 9623043440640. Its totient is φ = 855833472000.

The previous prime is 3322414342111. The next prime is 3322414342199. The reversal of 3322414342140 is 412434142233.

It is a super-2 number, since 2×3322414342140² (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, 288423301 + ... + 288434819.

It is an arithmetic number, because the mean of its divisors is an integer number (50120017920).

Almost surely, 2^{3322414342140} is an apocalyptic number.

3322414342140 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 3322414342140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811521720320).

3322414342140 is an abundant number, since it is smaller than the sum of its proper divisors (6300629098500).

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

3322414342140 is a wasteful number, since it uses less digits than its factorization.

3322414342140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12492 (or 12490 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 3322414342140 its reverse (412434142233), we get a palindrome (3734848484373).

The spelling of 3322414342140 in words is "three trillion, three hundred twenty-two billion, four hundred fourteen million, three hundred forty-two thousand, one hundred forty".