3688998837888 has 1024 divisors, whose sum is σ = 12595426099200. Its totient is φ = 931053699072.

The previous prime is 3688998837857. The next prime is 3688998837911. The reversal of 3688998837888 is 8887388998863.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19113983520 + ... + 19113983712.

It is an arithmetic number, because the mean of its divisors is an integer number (12300220800).

Almost surely, 2^{3688998837888} 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 3688998837888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6297713049600).

3688998837888 is an abundant number, since it is smaller than the sum of its proper divisors (8906427261312).

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

3688998837888 is a wasteful number, since it uses less digits than its factorization.

3688998837888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 477 counting only the distinct ones).

The product of its digits is 64210599936, while the sum is 93.

The spelling of 3688998837888 in words is "three trillion, six hundred eighty-eight billion, nine hundred ninety-eight million, eight hundred thirty-seven thousand, eight hundred eighty-eight".