3742260221304 has 288 divisors, whose sum is σ = 11568570249600. Its totient is φ = 1091196057600.

The previous prime is 3742260221233. The next prime is 3742260221353. The reversal of 3742260221304 is 4031220622473.

3742260221304 is a `hidden beast` number, since 3 + 7 + 4 + 22 + 602 + 21 + 3 + 0 + 4 = 666.

3742260221304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26003257 + ... + 26146775.

It is an arithmetic number, because the mean of its divisors is an integer number (40168646700).

Almost surely, 2^{3742260221304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3742260221304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784285124800).

3742260221304 is an abundant number, since it is smaller than the sum of its proper divisors (7826310028296).

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

3742260221304 is a wasteful number, since it uses less digits than its factorization.

3742260221304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143667 (or 143649 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 3742260221304 its reverse (4031220622473), we get a palindrome (7773480843777).

The spelling of 3742260221304 in words is "three trillion, seven hundred forty-two billion, two hundred sixty million, two hundred twenty-one thousand, three hundred four".