3984794608608 has 1920 divisors, whose sum is σ = 14656299356160. Its totient is φ = 1056814387200.

The previous prime is 3984794608607. The next prime is 3984794608631. The reversal of 3984794608608 is 8068064974893.

3984794608608 is a `hidden beast` number, since 3 + 9 + 8 + 4 + 7 + 9 + 4 + 6 + 0 + 8 + 608 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3984794608607) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 75184803910 + ... + 75184803962.

It is an arithmetic number, because the mean of its divisors is an integer number (7633489248).

Almost surely, 2^{3984794608608} is an apocalyptic number.

3984794608608 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 3984794608608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7328149678080).

3984794608608 is an abundant number, since it is smaller than the sum of its proper divisors (10671504747552).

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

3984794608608 is a wasteful number, since it uses less digits than its factorization.

3984794608608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 3984794608608 in words is "three trillion, nine hundred eighty-four billion, seven hundred ninety-four million, six hundred eight thousand, six hundred eight".