3952940544 has 480 divisors, whose sum is σ = 13852238400. Its totient is φ = 1083801600.

The previous prime is 3952940543. The next prime is 3952940591. The reversal of 3952940544 is 4450492593.

3952940544 is a `hidden beast` number, since 39 + 529 + 40 + 54 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3952940544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3952940543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64802274 + ... + 64802334.

It is an arithmetic number, because the mean of its divisors is an integer number (28858830).

Almost surely, 2^3952940544 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 3952940544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926119200).

3952940544 is an abundant number, since it is smaller than the sum of its proper divisors (9899297856).

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

3952940544 is an equidigital number, since it uses as much as digits as its factorization.

3952940544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 3952940544 is about 62872.4148096763. The cubic root of 3952940544 is about 1581.1512924912.

The spelling of 3952940544 in words is "three billion, nine hundred fifty-two million, nine hundred forty thousand, five hundred forty-four".