3985625952 has 384 divisors, whose sum is σ = 14631321600. Its totient is φ = 1025395200.

The previous prime is 3985625951. The next prime is 3985625971. The reversal of 3985625952 is 2595265893.

3985625952 is a `hidden beast` number, since 3 + 9 + 8 + 5 + 625 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3985625951) 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, 9247177 + ... + 9247607.

It is an arithmetic number, because the mean of its divisors is an integer number (38102400).

Almost surely, 2^3985625952 is an apocalyptic number.

3985625952 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 3985625952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315660800).

3985625952 is an abundant number, since it is smaller than the sum of its proper divisors (10645695648).

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

3985625952 is a wasteful number, since it uses less digits than its factorization.

3985625952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 593 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The square root of 3985625952 is about 63131.8141035089. The cubic root of 3985625952 is about 1585.4973215415.

The spelling of 3985625952 in words is "three billion, nine hundred eighty-five million, six hundred twenty-five thousand, nine hundred fifty-two".