3713072381040 has 320 divisors, whose sum is σ = 13239927590400. Its totient is φ = 851337216000.

The previous prime is 3713072381003. The next prime is 3713072381047. The reversal of 3713072381040 is 401832703173.

It is a self number, because there is not a number n which added to its sum of digits gives 3713072381040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3713072381047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30084576 + ... + 30207744.

It is an arithmetic number, because the mean of its divisors is an integer number (41374773720).

Almost surely, 2^{3713072381040} is an apocalyptic number.

3713072381040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3713072381040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6619963795200).

3713072381040 is an abundant number, since it is smaller than the sum of its proper divisors (9526855209360).

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

3713072381040 is a wasteful number, since it uses less digits than its factorization.

3713072381040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123816 (or 123810 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 3713072381040 in words is "three trillion, seven hundred thirteen billion, seventy-two million, three hundred eighty-one thousand, forty".