3979008 has 108 divisors (see below), whose sum is σ = 12595128. Its totient is φ = 1198080.

The previous prime is 3978979. The next prime is 3979013. The reversal of 3979008 is 8009793.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25266 + ... + 25422.

Almost surely, 2^3979008 is an apocalyptic number.

3979008 is the 1152-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3979008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6297564).

3979008 is an abundant number, since it is smaller than the sum of its proper divisors (8616120).

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

3979008 is a wasteful number, since it uses less digits than its factorization.

3979008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 3979008 is about 1994.7450964973. The cubic root of 3979008 is about 158.4619286469.

The spelling of 3979008 in words is "three million, nine hundred seventy-nine thousand, eight".