3642222641310 has 384 divisors, whose sum is σ = 10998099440640. Its totient is φ = 827000064000.

The previous prime is 3642222641263. The next prime is 3642222641341. The reversal of 3642222641310 is 131462222463.

3642222641310 is a `hidden beast` number, since 3 + 6 + 4 + 2 + 2 + 2 + 2 + 641 + 3 + 1 + 0 = 666.

It is a super-2 number, since 2×3642222641310² (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 191 ways as a sum of consecutive naturals, for example, 2266472527 + ... + 2266474133.

It is an arithmetic number, because the mean of its divisors is an integer number (28640883960).

Almost surely, 2^{3642222641310} is an apocalyptic number.

3642222641310 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 3642222641310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499049720320).

3642222641310 is an abundant number, since it is smaller than the sum of its proper divisors (7355876799330).

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

3642222641310 is a wasteful number, since it uses less digits than its factorization.

3642222641310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 3642222641310 its reverse (131462222463), we get a palindrome (3773684863773).

The spelling of 3642222641310 in words is "three trillion, six hundred forty-two billion, two hundred twenty-two million, six hundred forty-one thousand, three hundred ten".