3687189120 has 512 divisors, whose sum is σ = 13767552000. Its totient is φ = 931627008.

The previous prime is 3687189113. The next prime is 3687189127. The reversal of 3687189120 is 219817863.

It is an interprime number because it is at equal distance from previous prime (3687189113) and next prime (3687189127).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3687189127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46673241 + ... + 46673319.

It is an arithmetic number, because the mean of its divisors is an integer number (26889750).

Almost surely, 2^3687189120 is an apocalyptic number.

3687189120 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 3687189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6883776000).

3687189120 is an abundant number, since it is smaller than the sum of its proper divisors (10080362880).

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

3687189120 is a wasteful number, since it uses less digits than its factorization.

3687189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 3687189120 is about 60722.2292080915. The cubic root of 3687189120 is about 1544.8932342096.

The spelling of 3687189120 in words is "three billion, six hundred eighty-seven million, one hundred eighty-nine thousand, one hundred twenty".