3802008 has 96 divisors (see below), whose sum is σ = 11450160. Its totient is φ = 1048320.

The previous prime is 3802003. The next prime is 3802027. The reversal of 3802008 is 8002083.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3802003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62298 + ... + 62358.

Almost surely, 2^3802008 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 3802008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725080).

3802008 is an abundant number, since it is smaller than the sum of its proper divisors (7648152).

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

3802008 is a wasteful number, since it uses less digits than its factorization.

3802008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 3802008 is about 1949.8738420729. The cubic root of 3802008 is about 156.0765567696.

It can be divided in two parts, 3 and 802008, that added together give a triangular number (802011 = T₁₂₆₆).

The spelling of 3802008 in words is "three million, eight hundred two thousand, eight".