3940529824 has 288 divisors, whose sum is σ = 10610974080. Its totient is φ = 1419264000.

The previous prime is 3940529821. The next prime is 3940529861. The reversal of 3940529824 is 4289250493.

It is not an unprimeable number, because it can be changed into a prime (3940529821) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 26096149 + ... + 26096299.

It is an arithmetic number, because the mean of its divisors is an integer number (36843660).

Almost surely, 2^3940529824 is an apocalyptic number.

3940529824 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3940529824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305487040).

3940529824 is an abundant number, since it is smaller than the sum of its proper divisors (6670444256).

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

3940529824 is a wasteful number, since it uses less digits than its factorization.

3940529824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 3940529824 is about 62773.6395631160. The cubic root of 3940529824 is about 1579.4948211363.

The spelling of 3940529824 in words is "three billion, nine hundred forty million, five hundred twenty-nine thousand, eight hundred twenty-four".