3713835787764 has 192 divisors, whose sum is σ = 9707988713472. Its totient is φ = 1099701504000.

The previous prime is 3713835787763. The next prime is 3713835787777. The reversal of 3713835787764 is 4677875383173.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3713835787763) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 42751117 + ... + 42837899.

It is an arithmetic number, because the mean of its divisors is an integer number (50562441216).

Almost surely, 2^{3713835787764} is an apocalyptic number.

3713835787764 is a gapful number since it is divisible by the number (34) 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 3713835787764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853994356736).

3713835787764 is an abundant number, since it is smaller than the sum of its proper divisors (5994152925708).

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

3713835787764 is a wasteful number, since it uses less digits than its factorization.

3713835787764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87006 (or 87004 counting only the distinct ones).

The product of its digits is 497871360, while the sum is 69.

The spelling of 3713835787764 in words is "three trillion, seven hundred thirteen billion, eight hundred thirty-five million, seven hundred eighty-seven thousand, seven hundred sixty-four".