3713297785344 has 360 divisors, whose sum is σ = 12474625471308. Its totient is φ = 1060252139520.

The previous prime is 3713297785339. The next prime is 3713297785349. The reversal of 3713297785344 is 4435877923173.

3713297785344 is a `hidden beast` number, since 3 + 7 + 1 + 3 + 2 + 97 + 7 + 8 + 534 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3713297785339) and next prime (3713297785349).

It can be written as a sum of positive squares in 2 ways, for example, as 3713174841600 + 122943744 = 1926960^2 + 11088^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3713297785349) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 420194494 + ... + 420203330.

Almost surely, 2^{3713297785344} 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 3713297785344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6237312735654).

3713297785344 is an abundant number, since it is smaller than the sum of its proper divisors (8761327685964).

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

3713297785344 is a wasteful number, since it uses less digits than its factorization.

3713297785344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10736 (or 10710 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 63.

It can be divided in two parts, 3713297 and 785344, that added together give a square (4498641 = 2121²).

The spelling of 3713297785344 in words is "three trillion, seven hundred thirteen billion, two hundred ninety-seven million, seven hundred eighty-five thousand, three hundred forty-four".