3688720 has 60 divisors (see below), whose sum is σ = 9987084. Its totient is φ = 1263360.

The previous prime is 3688709. The next prime is 3688757. The reversal of 3688720 is 278863.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 1882384 = 1344^2 + 1372^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3450 + ... + 4390.

Almost surely, 2^3688720 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 3688720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993542).

3688720 is an abundant number, since it is smaller than the sum of its proper divisors (6298364).

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

3688720 is a wasteful number, since it uses less digits than its factorization.

3688720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 955 counting only the distinct ones).

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

The square root of 3688720 is about 1920.6040716400. The cubic root of 3688720 is about 154.5107012134.

It can be divided in two parts, 3688 and 720, that multiplied together give a triangular number (2655360 = T₂₃₀₄).

The spelling of 3688720 in words is "three million, six hundred eighty-eight thousand, seven hundred twenty".