3656968 has 48 divisors (see below), whose sum is σ = 8413200. Its totient is φ = 1481760.

The previous prime is 3656953. The next prime is 3656981. The reversal of 3656968 is 8696563.

3656968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7203 + ... + 7693.

It is an arithmetic number, because the mean of its divisors is an integer number (175275).

Almost surely, 2^3656968 is an apocalyptic number.

3656968 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 3656968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206600).

3656968 is an abundant number, since it is smaller than the sum of its proper divisors (4756232).

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

3656968 is a wasteful number, since it uses less digits than its factorization.

3656968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 519 counting only the distinct ones).

The product of its digits is 233280, while the sum is 43.

The square root of 3656968 is about 1912.3200568942. The cubic root of 3656968 is about 154.0660873378.

It can be divided in two parts, 3656 and 968, that added together give a square (4624 = 68²).

The spelling of 3656968 in words is "three million, six hundred fifty-six thousand, nine hundred sixty-eight".