3688134120 has 160 divisors (see below), whose sum is σ = 13523289120. Its totient is φ = 894084480.

The previous prime is 3688134103. The next prime is 3688134167. The reversal of 3688134120 is 214318863.

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

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 39 ways as a sum of consecutive naturals, for example, 16102 + ... + 87381.

It is an arithmetic number, because the mean of its divisors is an integer number (84520557).

Almost surely, 2^3688134120 is an apocalyptic number.

3688134120 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 3688134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761644560).

3688134120 is an abundant number, since it is smaller than the sum of its proper divisors (9835155000).

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

3688134120 is a wasteful number, since it uses less digits than its factorization.

3688134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103517 (or 103504 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3688134120 is about 60730.0100444583. The cubic root of 3688134120 is about 1545.0252046034.

The spelling of 3688134120 in words is "three billion, six hundred eighty-eight million, one hundred thirty-four thousand, one hundred twenty".