3672880 has 40 divisors (see below), whose sum is σ = 8820864. Its totient is φ = 1420800.

The previous prime is 3672857. The next prime is 3672881. The reversal of 3672880 is 882763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (3672881) 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, 1740 + ... + 3220.

Almost surely, 2^3672880 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 3672880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410432).

3672880 is an abundant number, since it is smaller than the sum of its proper divisors (5147984).

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

3672880 is a wasteful number, since it uses less digits than its factorization.

3672880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1519 counting only the distinct ones).

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

The square root of 3672880 is about 1916.4759325387. The cubic root of 3672880 is about 154.2892186806.

The spelling of 3672880 in words is "three million, six hundred seventy-two thousand, eight hundred eighty".