3945542720 has 224 divisors, whose sum is σ = 11094720000. Its totient is φ = 1335785472.

The previous prime is 3945542707. The next prime is 3945542723. The reversal of 3945542720 is 272455493.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3945542723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11305106 + ... + 11305454.

It is an arithmetic number, because the mean of its divisors is an integer number (49530000).

Almost surely, 2^3945542720 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 3945542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547360000).

3945542720 is an abundant number, since it is smaller than the sum of its proper divisors (7149177280).

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

3945542720 is a wasteful number, since it uses less digits than its factorization.

3945542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The square root of 3945542720 is about 62813.5552249672. Note that the first 3 decimals coincide. The cubic root of 3945542720 is about 1580.1643155501.

The spelling of 3945542720 in words is "three billion, nine hundred forty-five million, five hundred forty-two thousand, seven hundred twenty".