3820658688 has 336 divisors, whose sum is σ = 13780593216. Its totient is φ = 990904320.

The previous prime is 3820658683. The next prime is 3820658701. The reversal of 3820658688 is 8868560283.

3820658688 is a `hidden beast` number, since 38 + 20 + 6 + 586 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (3820658683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5676720 + ... + 5677392.

Almost surely, 2^3820658688 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 3820658688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890296608).

3820658688 is an abundant number, since it is smaller than the sum of its proper divisors (9959934528).

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

3820658688 is a wasteful number, since it uses less digits than its factorization.

3820658688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 3820658688 is about 61811.4769925456. The cubic root of 3820658688 is about 1563.3135092445.

The spelling of 3820658688 in words is "three billion, eight hundred twenty million, six hundred fifty-eight thousand, six hundred eighty-eight".