3994826314752 has 1848 divisors, whose sum is σ = 15540313592832. Its totient is φ = 1015831756800.

The previous prime is 3994826314711. The next prime is 3994826314753. The reversal of 3994826314752 is 2574136284993.

3994826314752 is a `hidden beast` number, since 3 + 9 + 9 + 482 + 6 + 3 + 147 + 5 + 2 = 666.

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 3994826314752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3994826314753) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 14741056377 + ... + 14741056647.

Almost surely, 2^{3994826314752} is an apocalyptic number.

3994826314752 is a gapful number since it is divisible by the number (32) 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 3994826314752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7770156796416).

3994826314752 is an abundant number, since it is smaller than the sum of its proper divisors (11545487278080).

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

3994826314752 is a wasteful number, since it uses less digits than its factorization.

3994826314752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 327 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 3994826314752 in words is "three trillion, nine hundred ninety-four billion, eight hundred twenty-six million, three hundred fourteen thousand, seven hundred fifty-two".