3985149952 has 104 divisors (see below), whose sum is σ = 9185977152. Its totient is φ = 1693286400.

The previous prime is 3985149929. The next prime is 3985149953. The reversal of 3985149952 is 2599415893.

It is a junction number, because it is equal to n+sod(n) for n = 3985149893 and 3985149902.

It is not an unprimeable number, because it can be changed into a prime (3985149953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3755502 + ... + 3756562.

Almost surely, 2^3985149952 is an apocalyptic number.

3985149952 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 3985149952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592988576).

3985149952 is an abundant number, since it is smaller than the sum of its proper divisors (5200827200).

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

3985149952 is a wasteful number, since it uses less digits than its factorization.

3985149952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1201 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 55.

The square root of 3985149952 is about 63128.0441008590. The cubic root of 3985149952 is about 1585.4342008188.

The spelling of 3985149952 in words is "three billion, nine hundred eighty-five million, one hundred forty-nine thousand, nine hundred fifty-two".