3688014240 has 240 divisors, whose sum is σ = 13067163648. Its totient is φ = 979582464.

The previous prime is 3688014223. The next prime is 3688014241. The reversal of 3688014240 is 424108863.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3688014195 and 3688014204.

It is not an unprimeable number, because it can be changed into a prime (3688014241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4963309 + ... + 4964051.

Almost surely, 2^3688014240 is an apocalyptic number.

3688014240 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 3688014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6533581824).

3688014240 is an abundant number, since it is smaller than the sum of its proper divisors (9379149408).

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

3688014240 is a wasteful number, since it uses less digits than its factorization.

3688014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3688014240 is about 60729.0230449988. The cubic root of 3688014240 is about 1545.0084644649.

The spelling of 3688014240 in words is "three billion, six hundred eighty-eight million, fourteen thousand, two hundred forty".