3743982566352 has 240 divisors, whose sum is σ = 12546345232512. Its totient is φ = 1058680627200.

The previous prime is 3743982566351. The next prime is 3743982566371. The reversal of 3743982566352 is 2536652893473.

It is a happy number.

3743982566352 is a `hidden beast` number, since 3 + 7 + 4 + 39 + 8 + 2 + 566 + 35 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3743982566352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3743982566351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1930852 + ... + 3349052.

Almost surely, 2^{3743982566352} 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 3743982566352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273172616256).

3743982566352 is an abundant number, since it is smaller than the sum of its proper divisors (8802362666160).

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

3743982566352 is a wasteful number, since it uses less digits than its factorization.

3743982566352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418328 (or 1418310 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 63.

The spelling of 3743982566352 in words is "three trillion, seven hundred forty-three billion, nine hundred eighty-two million, five hundred sixty-six thousand, three hundred fifty-two".