3679480 has 64 divisors (see below), whose sum is σ = 10031040. Its totient is φ = 1185792.

The previous prime is 3679457. The next prime is 3679499. The reversal of 3679480 is 849763.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4374 + ... + 5146.

It is an arithmetic number, because the mean of its divisors is an integer number (156735).

Almost surely, 2^3679480 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 3679480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015520).

3679480 is an abundant number, since it is smaller than the sum of its proper divisors (6351560).

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

3679480 is a wasteful number, since it uses less digits than its factorization.

3679480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 3679480 is about 1918.1970701677. The cubic root of 3679480 is about 154.3815803060.

The spelling of 3679480 in words is "three million, six hundred seventy-nine thousand, four hundred eighty".