3945522672 has 720 divisors, whose sum is σ = 15292592640. Its totient is φ = 925157376.

The previous prime is 3945522643. The next prime is 3945522697. The reversal of 3945522672 is 2762255493.

3945522672 is a `hidden beast` number, since 3 + 9 + 4 + 552 + 26 + 72 = 666.

Its product of digits (907200) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 74443798 + ... + 74443850.

It is an arithmetic number, because the mean of its divisors is an integer number (21239712).

Almost surely, 2^3945522672 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 3945522672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7646296320).

3945522672 is an abundant number, since it is smaller than the sum of its proper divisors (11347069968).

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

3945522672 is a wasteful number, since it uses less digits than its factorization.

3945522672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 3945522672 is about 62813.3956413757. The cubic root of 3945522672 is about 1580.1616391808.

The spelling of 3945522672 in words is "three billion, nine hundred forty-five million, five hundred twenty-two thousand, six hundred seventy-two".