3958431328 has 48 divisors (see below), whose sum is σ = 8070300000. Its totient is φ = 1908974592.

The previous prime is 3958431313. The next prime is 3958431331. The reversal of 3958431328 is 8231348593.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1296748 + ... + 1299796.

It is an arithmetic number, because the mean of its divisors is an integer number (168131250).

Almost surely, 2^3958431328 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 3958431328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035150000).

3958431328 is an abundant number, since it is smaller than the sum of its proper divisors (4111868672).

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

3958431328 is a wasteful number, since it uses less digits than its factorization.

3958431328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4487 (or 4479 counting only the distinct ones).

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

The square root of 3958431328 is about 62916.0657384106. The cubic root of 3958431328 is about 1581.8830467770.

The spelling of 3958431328 in words is "three billion, nine hundred fifty-eight million, four hundred thirty-one thousand, three hundred twenty-eight".