3985705152 has 504 divisors, whose sum is σ = 13944398832. Its totient is φ = 1080668160.

The previous prime is 3985705147. The next prime is 3985705159. The reversal of 3985705152 is 2515075893.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3985705098 and 3985705107.

It is not an unprimeable number, because it can be changed into a prime (3985705159) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48020503 + ... + 48020585.

It is an arithmetic number, because the mean of its divisors is an integer number (27667458).

Almost surely, 2^3985705152 is an apocalyptic number.

3985705152 is a gapful number since it is divisible by the number (32) 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 3985705152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6972199416).

3985705152 is an abundant number, since it is smaller than the sum of its proper divisors (9958693680).

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

3985705152 is a wasteful number, since it uses less digits than its factorization.

3985705152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 3985705152 is about 63132.4413594152. The cubic root of 3985705152 is about 1585.5078234934.

The spelling of 3985705152 in words is "three billion, nine hundred eighty-five million, seven hundred five thousand, one hundred fifty-two".