3686401125 has 288 divisors, whose sum is σ = 8156453760. Its totient is φ = 1653696000.

The previous prime is 3686401099. The next prime is 3686401127. The reversal of 3686401125 is 5211046863.

It is a happy number.

3686401125 is a `hidden beast` number, since 3 + 6 + 8 + 640 + 1 + 1 + 2 + 5 = 666.

3686401125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3686401125 - 2⁷ = 3686400997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3686401125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3686401127) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 62481346 + ... + 62481404.

It is an arithmetic number, because the mean of its divisors is an integer number (28321020).

Almost surely, 2^3686401125 is an apocalyptic number.

It is an amenable number.

3686401125 is an abundant number, since it is smaller than the sum of its proper divisors (4470052635).

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

3686401125 is a wasteful number, since it uses less digits than its factorization.

3686401125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3686401125 is about 60715.7403397175. The cubic root of 3686401125 is about 1544.7831725124.

Adding to 3686401125 its reverse (5211046863), we get a palindrome (8897447988).

The spelling of 3686401125 in words is "three billion, six hundred eighty-six million, four hundred one thousand, one hundred twenty-five".