3688226974080 has 1536 divisors, whose sum is σ = 15011071372800. Its totient is φ = 848517120000.

The previous prime is 3688226974063. The next prime is 3688226974087. The reversal of 3688226974080 is 804796228863.

3688226974080 is a `hidden beast` number, since 3 + 68 + 82 + 2 + 6 + 97 + 408 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3688226973999 and 3688226974017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688226974087) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11142679515 + ... + 11142679845.

It is an arithmetic number, because the mean of its divisors is an integer number (9772832925).

Almost surely, 2^{3688226974080} is an apocalyptic number.

3688226974080 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 3688226974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7505535686400).

3688226974080 is an abundant number, since it is smaller than the sum of its proper divisors (11322844398720).

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

3688226974080 is a wasteful number, since it uses less digits than its factorization.

3688226974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 3688226974080 in words is "three trillion, six hundred eighty-eight billion, two hundred twenty-six million, nine hundred seventy-four thousand, eighty".