3742644321504 has 768 divisors, whose sum is σ = 12567144038400. Its totient is φ = 1073311948800.

The previous prime is 3742644321487. The next prime is 3742644321587. The reversal of 3742644321504 is 4051234462473.

3742644321504 is a `hidden beast` number, since 3 + 7 + 4 + 2 + 64 + 432 + 150 + 4 = 666.

It is a super-2 number, since 2×3742644321504² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3742644321504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2630107737 + ... + 2630109159.

It is an arithmetic number, because the mean of its divisors is an integer number (16363468800).

Almost surely, 2^{3742644321504} 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 3742644321504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283572019200).

3742644321504 is an abundant number, since it is smaller than the sum of its proper divisors (8824499716896).

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

3742644321504 is a wasteful number, since it uses less digits than its factorization.

3742644321504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

Adding to 3742644321504 its reverse (4051234462473), we get a palindrome (7793878783977).

The spelling of 3742644321504 in words is "three trillion, seven hundred forty-two billion, six hundred forty-four million, three hundred twenty-one thousand, five hundred four".