3958411968 has 336 divisors, whose sum is σ = 13776472320. Its totient is φ = 1061517312.

The previous prime is 3958411909. The next prime is 3958411993. The reversal of 3958411968 is 8691148593.

3958411968 is a `hidden beast` number, since 395 + 84 + 119 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12486946 + ... + 12487262.

Almost surely, 2^3958411968 is an apocalyptic number.

3958411968 is a gapful number since it is divisible by the number (38) 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 3958411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6888236160).

3958411968 is an abundant number, since it is smaller than the sum of its proper divisors (9818060352).

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

3958411968 is a wasteful number, since it uses less digits than its factorization.

3958411968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 511 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 3958411968 is about 62915.9118824483. The cubic root of 3958411968 is about 1581.8804678677.

The spelling of 3958411968 in words is "three billion, nine hundred fifty-eight million, four hundred eleven thousand, nine hundred sixty-eight".