3673008 has 60 divisors (see below), whose sum is σ = 10735920. Its totient is φ = 1170048.

The previous prime is 3672997. The next prime is 3673009. The reversal of 3673008 is 8003763.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3673009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2758 + ... + 3866.

It is an arithmetic number, because the mean of its divisors is an integer number (178932).

Almost surely, 2^3673008 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 3673008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367960).

3673008 is an abundant number, since it is smaller than the sum of its proper divisors (7062912).

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

3673008 is a wasteful number, since it uses less digits than its factorization.

3673008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3673008 is about 1916.5093268753. The cubic root of 3673008 is about 154.2910109881.

It can be divided in two parts, 367 and 3008, that added together give a cube (3375 = 15³).

The spelling of 3673008 in words is "three million, six hundred seventy-three thousand, eight".