3958936128 has 224 divisors, whose sum is σ = 13403884800. Its totient is φ = 1122398208.

The previous prime is 3958936123. The next prime is 3958936141. The reversal of 3958936128 is 8216398593.

3958936128 is a `hidden beast` number, since 3 + 9 + 589 + 36 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (3958936123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1655958 + ... + 1658346.

Almost surely, 2^3958936128 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 3958936128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6701942400).

3958936128 is an abundant number, since it is smaller than the sum of its proper divisors (9444948672).

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

3958936128 is a wasteful number, since it uses less digits than its factorization.

3958936128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2538 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 3958936128 is about 62920.0773044662. The cubic root of 3958936128 is about 1581.9502872698.

The spelling of 3958936128 in words is "three billion, nine hundred fifty-eight million, nine hundred thirty-six thousand, one hundred twenty-eight".