3688080 has 120 divisors (see below), whose sum is σ = 12665856. Its totient is φ = 887040.

The previous prime is 3688063. The next prime is 3688081. The reversal of 3688080 is 808863.

3688080 = T₃₉ + T₄₀ + ... + T₂₈₀.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3688081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28977 + ... + 29103.

Almost surely, 2^3688080 is an apocalyptic number.

3688080 is a gapful number since it is divisible by the number (30) 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 3688080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332928).

3688080 is an abundant number, since it is smaller than the sum of its proper divisors (8977776).

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

3688080 is a wasteful number, since it uses less digits than its factorization.

3688080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 3688080 is about 1920.4374501660. The cubic root of 3688080 is about 154.5017647289.

It can be divided in two parts, 368 and 8080, that added together give a palindrome (8448).

The spelling of 3688080 in words is "three million, six hundred eighty-eight thousand, eighty".