3740309584144 has 225 divisors, whose sum is σ = 8994511509267. Its totient is φ = 1502383766016.

The previous prime is 3740309584129. The next prime is 3740309584171. The reversal of 3740309584144 is 4414859030473.

It is a happy number.

The square root of 3740309584144 is 1933988.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1160816617744 + 2579492966400 = 1077412^2 + 1606080^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3740309584091 and 3740309584100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15649830777 + ... + 15649831015.

Almost surely, 2^{3740309584144} is an apocalyptic number.

3740309584144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3740309584144 is the 1933988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3740309584144

3740309584144 is an abundant number, since it is smaller than the sum of its proper divisors (5254201925123).

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

3740309584144 is an frugal number, since it uses more digits than its factorization.

3740309584144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 3740309584144 in words is "three trillion, seven hundred forty billion, three hundred nine million, five hundred eighty-four thousand, one hundred forty-four".