3959605728 has 384 divisors, whose sum is σ = 13373942400. Its totient is φ = 1128923136.

The previous prime is 3959605697. The next prime is 3959605739. The reversal of 3959605728 is 8275069593.

3959605728 is a `hidden beast` number, since 3 + 9 + 5 + 9 + 60 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 16993900 + ... + 16994132.

It is an arithmetic number, because the mean of its divisors is an integer number (34827975).

Almost surely, 2^3959605728 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 3959605728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6686971200).

3959605728 is an abundant number, since it is smaller than the sum of its proper divisors (9414336672).

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

3959605728 is a wasteful number, since it uses less digits than its factorization.

3959605728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 3959605728 is about 62925.3981155463. The cubic root of 3959605728 is about 1582.0394706736.

The spelling of 3959605728 in words is "three billion, nine hundred fifty-nine million, six hundred five thousand, seven hundred twenty-eight".