3395808 has 72 divisors (see below), whose sum is σ = 10411128. Its totient is φ = 1043712.

The previous prime is 3395803. The next prime is 3395831. The reversal of 3395808 is 8085933.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3395803) 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, 3291 + ... + 4197.

It is an arithmetic number, because the mean of its divisors is an integer number (144599).

Almost surely, 2^3395808 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 3395808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205564).

3395808 is an abundant number, since it is smaller than the sum of its proper divisors (7015320).

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

3395808 is a wasteful number, since it uses less digits than its factorization.

3395808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3395808 is about 1842.7718252676. The cubic root of 3395808 is about 150.3076353055.

The spelling of 3395808 in words is "three million, three hundred ninety-five thousand, eight hundred eight".