3667968 has 72 divisors (see below), whose sum is σ = 10647000. Its totient is φ = 1216512.

The previous prime is 3667967. The next prime is 3667973. The reversal of 3667968 is 8697663.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18333 + ... + 18531.

It is an arithmetic number, because the mean of its divisors is an integer number (147875).

Almost surely, 2^3667968 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 3667968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323500).

3667968 is an abundant number, since it is smaller than the sum of its proper divisors (6979032).

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

3667968 is a wasteful number, since it uses less digits than its factorization.

3667968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 3667968 is about 1915.1939849530. The cubic root of 3667968 is about 154.2204073987.

The spelling of 3667968 in words is "three million, six hundred sixty-seven thousand, nine hundred sixty-eight".