3688427988 has 384 divisors, whose sum is σ = 11990630400. Its totient is φ = 969978240.

The previous prime is 3688427969. The next prime is 3688428041. The reversal of 3688427988 is 8897248863.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55051131 + ... + 55051197.

It is an arithmetic number, because the mean of its divisors is an integer number (31225600).

Almost surely, 2^3688427988 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 3688427988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995315200).

3688427988 is an abundant number, since it is smaller than the sum of its proper divisors (8302202412).

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

3688427988 is a wasteful number, since it uses less digits than its factorization.

3688427988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The square root of 3688427988 is about 60732.4294590625. The cubic root of 3688427988 is about 1545.0662390302.

The spelling of 3688427988 in words is "three billion, six hundred eighty-eight million, four hundred twenty-seven thousand, nine hundred eighty-eight".