3952033876728 has 768 divisors, whose sum is σ = 14092314163200. Its totient is φ = 1011512033280.

The previous prime is 3952033876697. The next prime is 3952033876729. The reversal of 3952033876728 is 8276783302593.

3952033876728 is a `hidden beast` number, since 3 + 9 + 520 + 3 + 3 + 87 + 6 + 7 + 28 = 666.

3952033876728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3952033876729) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 476316676 + ... + 476324972.

It is an arithmetic number, because the mean of its divisors is an integer number (18349367400).

Almost surely, 2^{3952033876728} 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 3952033876728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046157081600).

3952033876728 is an abundant number, since it is smaller than the sum of its proper divisors (10140280286472).

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

3952033876728 is a wasteful number, since it uses less digits than its factorization.

3952033876728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8442 (or 8426 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 3952033876728 in words is "three trillion, nine hundred fifty-two billion, thirty-three million, eight hundred seventy-six thousand, seven hundred twenty-eight".