3946071452928 has 288 divisors, whose sum is σ = 11714662278144. Its totient is φ = 1178915584000.

The previous prime is 3946071452909. The next prime is 3946071452929. The reversal of 3946071452928 is 8292541706493.

It is a happy number.

It is a super-2 number, since 2×3946071452928² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3946071452929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72549583 + ... + 72603953.

It is an arithmetic number, because the mean of its divisors is an integer number (40675910688).

It is a 1-persistent number, because it is pandigital, but 2⋅3946071452928 = 7892142905856 is not.

Almost surely, 2^{3946071452928} 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 3946071452928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5857331139072).

3946071452928 is an abundant number, since it is smaller than the sum of its proper divisors (7768590825216).

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

3946071452928 is an equidigital number, since it uses as much as digits as its factorization.

3946071452928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54494 (or 54458 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 3946071452928 in words is "three trillion, nine hundred forty-six billion, seventy-one million, four hundred fifty-two thousand, nine hundred twenty-eight".