3687280128 has 240 divisors, whose sum is σ = 12324449280. Its totient is φ = 1039454208.

The previous prime is 3687280123. The next prime is 3687280141. The reversal of 3687280128 is 8210827863.

3687280128 is a `hidden beast` number, since 368 + 7 + 280 + 1 + 2 + 8 = 666.

3687280128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3687280123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2547501 + ... + 2548947.

It is an arithmetic number, because the mean of its divisors is an integer number (51351872).

Almost surely, 2^3687280128 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 3687280128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6162224640).

3687280128 is an abundant number, since it is smaller than the sum of its proper divisors (8637169152).

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

3687280128 is a wasteful number, since it uses less digits than its factorization.

3687280128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 3687280128 is about 60722.9785830702. The cubic root of 3687280128 is about 1544.9059445681.

The spelling of 3687280128 in words is "three billion, six hundred eighty-seven million, two hundred eighty thousand, one hundred twenty-eight".