3706368 has 80 divisors (see below), whose sum is σ = 10475520. Its totient is φ = 1161216.

The previous prime is 3706309. The next prime is 3706369. The reversal of 3706368 is 8636073.

It is a happy number.

3706368 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3706369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29121 + ... + 29247.

It is an arithmetic number, because the mean of its divisors is an integer number (130944).

Almost surely, 2^3706368 is an apocalyptic number.

3706368 is a gapful number since it is divisible by the number (38) 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 3706368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237760).

3706368 is an abundant number, since it is smaller than the sum of its proper divisors (6769152).

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

3706368 is a wasteful number, since it uses less digits than its factorization.

3706368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3706368 is about 1925.1929773402. The cubic root of 3706368 is about 154.7567185984.

The spelling of 3706368 in words is "three million, seven hundred six thousand, three hundred sixty-eight".