3905676 has 72 divisors (see below), whose sum is σ = 10614240. Its totient is φ = 1208064.

The previous prime is 3905669. The next prime is 3905677. The reversal of 3905676 is 6765093.

It is a happy number.

3905676 is a `hidden beast` number, since 3 + 90 + 567 + 6 = 666.

3905676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3905676.

It is not an unprimeable number, because it can be changed into a prime (3905677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43840 + ... + 43928.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 2^3905676 is an apocalyptic number.

3905676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3905676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307120).

3905676 is an abundant number, since it is smaller than the sum of its proper divisors (6708564).

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

3905676 is a wasteful number, since it uses less digits than its factorization.

3905676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3905676 is about 1976.2783204802. The cubic root of 3905676 is about 157.4824167824.

The spelling of 3905676 in words is "three million, nine hundred five thousand, six hundred seventy-six".