3960004752 has 360 divisors, whose sum is σ = 13371878520. Its totient is φ = 1088102400.

The previous prime is 3960004751. The next prime is 3960004753. The reversal of 3960004752 is 2574000693.

3960004752 is a `hidden beast` number, since 3 + 9 + 600 + 0 + 47 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3960004751) and next prime (3960004753).

It can be written as a sum of positive squares in 4 ways, for example, as 783104256 + 3176900496 = 27984^2 + 56364^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3960004751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8589802 + ... + 8590262.

It is an arithmetic number, because the mean of its divisors is an integer number (37144107).

Almost surely, 2^3960004752 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 3960004752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6685939260).

3960004752 is an abundant number, since it is smaller than the sum of its proper divisors (9411873768).

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

3960004752 is a wasteful number, since it uses less digits than its factorization.

3960004752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3960004752 is about 62928.5686473163. The cubic root of 3960004752 is about 1582.0926115296.

The spelling of 3960004752 in words is "three billion, nine hundred sixty million, four thousand, seven hundred fifty-two".