3713808051072 has 1536 divisors, whose sum is σ = 13960603238400. Its totient is φ = 959426519040.

The previous prime is 3713808051029. The next prime is 3713808051097. The reversal of 3713808051072 is 2701508083173.

3713808051072 is a `hidden beast` number, since 37 + 1 + 38 + 0 + 8 + 0 + 510 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 7296282754 + ... + 7296283262.

It is an arithmetic number, because the mean of its divisors is an integer number (9088934400).

Almost surely, 2^{3713808051072} is an apocalyptic number.

3713808051072 is a gapful number since it is divisible by the number (32) 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 3713808051072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6980301619200).

3713808051072 is an abundant number, since it is smaller than the sum of its proper divisors (10246795187328).

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

3713808051072 is a wasteful number, since it uses less digits than its factorization.

3713808051072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 3713808051072 in words is "three trillion, seven hundred thirteen billion, eight hundred eight million, fifty-one thousand, seventy-two".