3667872 has 48 divisors (see below), whose sum is σ = 10372320. Its totient is φ = 1128192.

The previous prime is 3667871. The next prime is 3667897. The reversal of 3667872 is 2787663.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3667872.

It is not an unprimeable number, because it can be changed into a prime (3667871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222 + ... + 2717.

It is an arithmetic number, because the mean of its divisors is an integer number (216090).

Almost surely, 2^3667872 is an apocalyptic number.

3667872 is a gapful number since it is divisible by the number (32) 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 3667872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186160).

3667872 is an abundant number, since it is smaller than the sum of its proper divisors (6704448).

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

3667872 is a wasteful number, since it uses less digits than its factorization.

3667872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2957 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 3667872 is about 1915.1689220536. The cubic root of 3667872 is about 154.2190619409.

The spelling of 3667872 in words is "three million, six hundred sixty-seven thousand, eight hundred seventy-two".