3985722408096 has 384 divisors, whose sum is σ = 14376187929600. Its totient is φ = 1056208481280.

The previous prime is 3985722408091. The next prime is 3985722408137. The reversal of 3985722408096 is 6908042275893.

3985722408096 is a `hidden beast` number, since 3 + 98 + 57 + 2 + 2 + 408 + 0 + 96 = 666.

It is a super-2 number, since 2×3985722408096² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3985722408091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1498555 + ... + 3196421.

It is an arithmetic number, because the mean of its divisors is an integer number (37437989400).

Almost surely, 2^{3985722408096} is an apocalyptic number.

3985722408096 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 3985722408096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188093964800).

3985722408096 is an abundant number, since it is smaller than the sum of its proper divisors (10390465521504).

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

3985722408096 is a wasteful number, since it uses less digits than its factorization.

3985722408096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697929 (or 1697915 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 3985722408096 in words is "three trillion, nine hundred eighty-five billion, seven hundred twenty-two million, four hundred eight thousand, ninety-six".