3687128940 has 144 divisors (see below), whose sum is σ = 11411527680. Its totient is φ = 888835200.

The previous prime is 3687128839. The next prime is 3687128941. The reversal of 3687128940 is 498217863.

It is a self number, because there is not a number n which added to its sum of digits gives 3687128940.

It is not an unprimeable number, because it can be changed into a prime (3687128941) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1385331 + ... + 1387989.

It is an arithmetic number, because the mean of its divisors is an integer number (79246720).

Almost surely, 2^3687128940 is an apocalyptic number.

3687128940 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 3687128940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705763840).

3687128940 is an abundant number, since it is smaller than the sum of its proper divisors (7724398740).

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

3687128940 is a wasteful number, since it uses less digits than its factorization.

3687128940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 3687128940 is about 60721.7336709024. The cubic root of 3687128940 is about 1544.8848292360.

The spelling of 3687128940 in words is "three billion, six hundred eighty-seven million, one hundred twenty-eight thousand, nine hundred forty".