3687538848 has 384 divisors, whose sum is σ = 12599193600. Its totient is φ = 919683072.

The previous prime is 3687538747. The next prime is 3687538859. The reversal of 3687538848 is 8488357863.

It is a junction number, because it is equal to n+sod(n) for n = 3687538791 and 3687538800.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8516040 + ... + 8516472.

It is an arithmetic number, because the mean of its divisors is an integer number (32810400).

Almost surely, 2^3687538848 is an apocalyptic number.

3687538848 is a gapful number since it is divisible by the number (38) 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 3687538848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299596800).

3687538848 is an abundant number, since it is smaller than the sum of its proper divisors (8911654752).

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

3687538848 is a wasteful number, since it uses less digits than its factorization.

3687538848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 60.

The square root of 3687538848 is about 60725.1088759831. The cubic root of 3687538848 is about 1544.9420767761.

The spelling of 3687538848 in words is "three billion, six hundred eighty-seven million, five hundred thirty-eight thousand, eight hundred forty-eight".