3972850417296 has 400 divisors, whose sum is σ = 12233883499200. Its totient is φ = 1246298586624.

The previous prime is 3972850417253. The next prime is 3972850417303. The reversal of 3972850417296 is 6927140582793.

3972850417296 is a `hidden beast` number, since 3 + 9 + 7 + 28 + 504 + 17 + 2 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 939428110 + ... + 939432338.

It is an arithmetic number, because the mean of its divisors is an integer number (30584708748).

It is a 1-persistent number, because it is pandigital, but 2⋅3972850417296 = 7945700834592 is not.

Almost surely, 2^{3972850417296} is an apocalyptic number.

3972850417296 is a gapful number since it is divisible by the number (36) 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 3972850417296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6116941749600).

3972850417296 is an abundant number, since it is smaller than the sum of its proper divisors (8261033081904).

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

3972850417296 is an equidigital number, since it uses as much as digits as its factorization.

3972850417296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4440 (or 4410 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 3972850417296 in words is "three trillion, nine hundred seventy-two billion, eight hundred fifty million, four hundred seventeen thousand, two hundred ninety-six".