3672088 has 32 divisors (see below), whose sum is σ = 8213760. Its totient is φ = 1504800.

The previous prime is 3672059. The next prime is 3672089. The reversal of 3672088 is 8802763.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672089) 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, 138 + ... + 2713.

It is an arithmetic number, because the mean of its divisors is an integer number (256680).

Almost surely, 2^3672088 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 3672088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106880).

3672088 is an abundant number, since it is smaller than the sum of its proper divisors (4541672).

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

3672088 is a wasteful number, since it uses less digits than its factorization.

3672088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 3672088 is about 1916.2692921403. The cubic root of 3672088 is about 154.2781278522.

The spelling of 3672088 in words is "three million, six hundred seventy-two thousand, eighty-eight".