3974536732608 has 756 divisors, whose sum is σ = 13072303913760. Its totient is φ = 1153774043136.

The previous prime is 3974536732553. The next prime is 3974536732609. The reversal of 3974536732608 is 8062376354793.

3974536732608 is a `hidden beast` number, since 3 + 9 + 7 + 4 + 5 + 367 + 3 + 260 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3974536732609) 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 107 ways as a sum of consecutive naturals, for example, 4068102616 + ... + 4068103592.

Almost surely, 2^{3974536732608} 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 3974536732608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6536151956880).

3974536732608 is an abundant number, since it is smaller than the sum of its proper divisors (9097767181152).

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

3974536732608 is a wasteful number, since it uses less digits than its factorization.

3974536732608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 3974536732608 in words is "three trillion, nine hundred seventy-four billion, five hundred thirty-six million, seven hundred thirty-two thousand, six hundred eight".