3406536 has 80 divisors (see below), whose sum is σ = 10919040. Its totient is φ = 972000.

The previous prime is 3406531. The next prime is 3406541. The reversal of 3406536 is 6356043.

3406536 is a `hidden beast` number, since 3 + 4 + 0 + 653 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3406531) and next prime (3406541).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3406531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4161 + ... + 4911.

It is an arithmetic number, because the mean of its divisors is an integer number (136488).

Almost surely, 2^3406536 is an apocalyptic number.

3406536 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 3406536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459520).

3406536 is an abundant number, since it is smaller than the sum of its proper divisors (7512504).

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

3406536 is a wasteful number, since it uses less digits than its factorization.

3406536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3406536 is about 1845.6803623596. The cubic root of 3406536 is about 150.4657523350.

The spelling of 3406536 in words is "three million, four hundred six thousand, five hundred thirty-six".