3688209928296 has 192 divisors, whose sum is σ = 10447736832000. Its totient is φ = 1173999864960.

The previous prime is 3688209928289. The next prime is 3688209928309. The reversal of 3688209928296 is 6928299028863.

3688209928296 is a `hidden beast` number, since 36 + 88 + 209 + 9 + 28 + 296 = 666.

It is a super-2 number, since 2×3688209928296² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363759595 + ... + 363769733.

It is an arithmetic number, because the mean of its divisors is an integer number (54415296000).

Almost surely, 2^{3688209928296} is an apocalyptic number.

3688209928296 is a gapful number since it is divisible by the number (36) 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 3688209928296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5223868416000).

3688209928296 is an abundant number, since it is smaller than the sum of its proper divisors (6759526903704).

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

3688209928296 is a wasteful number, since it uses less digits than its factorization.

3688209928296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12324 (or 12317 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 3688209928296 in words is "three trillion, six hundred eighty-eight billion, two hundred nine million, nine hundred twenty-eight thousand, two hundred ninety-six".