3958008 has 64 divisors (see below), whose sum is σ = 10692000. Its totient is φ = 1216512.

The previous prime is 3957983. The next prime is 3958013. The reversal of 3958008 is 8008593.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 3958008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36258 + ... + 36366.

Almost surely, 2^3958008 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 3958008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346000).

3958008 is an abundant number, since it is smaller than the sum of its proper divisors (6733992).

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

3958008 is a wasteful number, since it uses less digits than its factorization.

3958008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 3958008 is about 1989.4743024226. The cubic root of 3958008 is about 158.1826654130.

The spelling of 3958008 in words is "three million, nine hundred fifty-eight thousand, eight".