3945950826972 has 192 divisors, whose sum is σ = 11558430105600. Its totient is φ = 1017861292800.

The previous prime is 3945950826971. The next prime is 3945950826991. The reversal of 3945950826972 is 2796280595493.

It is a junction number, because it is equal to n+sod(n) for n = 3945950826897 and 3945950826906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3945950826971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99457083 + ... + 99496749.

It is an arithmetic number, because the mean of its divisors is an integer number (60200156800).

Almost surely, 2^{3945950826972} 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 3945950826972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779215052800).

3945950826972 is an abundant number, since it is smaller than the sum of its proper divisors (7612479278628).

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

3945950826972 is a wasteful number, since it uses less digits than its factorization.

3945950826972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40432 (or 40430 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 69.

The spelling of 3945950826972 in words is "three trillion, nine hundred forty-five billion, nine hundred fifty million, eight hundred twenty-six thousand, nine hundred seventy-two".