3934622834688 has 1792 divisors, whose sum is σ = 14655681331200. Its totient is φ = 909650165760.

The previous prime is 3934622834683. The next prime is 3934622834699. The reversal of 3934622834688 is 8864382264393.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3934622834683) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38200221645 + ... + 38200221747.

It is an arithmetic number, because the mean of its divisors is an integer number (8178393600).

Almost surely, 2^{3934622834688} is an apocalyptic number.

3934622834688 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 3934622834688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7327840665600).

3934622834688 is an abundant number, since it is smaller than the sum of its proper divisors (10721058496512).

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

3934622834688 is a wasteful number, since it uses less digits than its factorization.

3934622834688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 207 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 66.

The spelling of 3934622834688 in words is "three trillion, nine hundred thirty-four billion, six hundred twenty-two million, eight hundred thirty-four thousand, six hundred eighty-eight".