3642221651310 has 768 divisors, whose sum is σ = 11507534438400. Its totient is φ = 788963328000.

The previous prime is 3642221651303. The next prime is 3642221651311. The reversal of 3642221651310 is 131561222463.

3642221651310 is a `hidden beast` number, since 3 + 6 + 422 + 216 + 5 + 1 + 3 + 10 = 666.

It is a super-2 number, since 2×3642221651310² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642221651311) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10436165016 + ... + 10436165364.

It is an arithmetic number, because the mean of its divisors is an integer number (14983768800).

Almost surely, 2^{3642221651310} is an apocalyptic number.

3642221651310 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 3642221651310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5753767219200).

3642221651310 is an abundant number, since it is smaller than the sum of its proper divisors (7865312787090).

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

3642221651310 is a wasteful number, since it uses less digits than its factorization.

3642221651310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 3642221651310 its reverse (131561222463), we get a palindrome (3773782873773).

The spelling of 3642221651310 in words is "three trillion, six hundred forty-two billion, two hundred twenty-one million, six hundred fifty-one thousand, three hundred ten".