3686652144 has 360 divisors, whose sum is σ = 12739764960. Its totient is φ = 1011128832.

The previous prime is 3686652133. The next prime is 3686652149. The reversal of 3686652144 is 4412566863.

3686652144 is a `hidden beast` number, since 3 + 6 + 86 + 6 + 521 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3686652144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3686652149) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21310042 + ... + 21310214.

It is an arithmetic number, because the mean of its divisors is an integer number (35388236).

Almost surely, 2^3686652144 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 3686652144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6369882480).

3686652144 is an abundant number, since it is smaller than the sum of its proper divisors (9053112816).

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

3686652144 is an equidigital number, since it uses as much as digits as its factorization.

3686652144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 214 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 3686652144 is about 60717.8074702966. The cubic root of 3686652144 is about 1544.8182348142.

The spelling of 3686652144 in words is "three billion, six hundred eighty-six million, six hundred fifty-two thousand, one hundred forty-four".