3958829952 has 384 divisors, whose sum is σ = 13797319680. Its totient is φ = 993484800.

The previous prime is 3958829923. The next prime is 3958829957. The reversal of 3958829952 is 2599288593.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3958829957) 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, 6415948 + ... + 6416564.

It is an arithmetic number, because the mean of its divisors is an integer number (35930520).

Almost surely, 2^3958829952 is an apocalyptic number.

3958829952 is a gapful number since it is divisible by the number (32) 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 3958829952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6898659840).

3958829952 is an abundant number, since it is smaller than the sum of its proper divisors (9838489728).

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

3958829952 is a wasteful number, since it uses less digits than its factorization.

3958829952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 671 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 60.

The square root of 3958829952 is about 62919.2335617655. The cubic root of 3958829952 is about 1581.9361448630.

The spelling of 3958829952 in words is "three billion, nine hundred fifty-eight million, eight hundred twenty-nine thousand, nine hundred fifty-two".