3886952832 has 320 divisors, whose sum is σ = 13502148000. Its totient is φ = 1109541888.

The previous prime is 3886952813. The next prime is 3886952837. The reversal of 3886952832 is 2382596883.

3886952832 is a `hidden beast` number, since 3 + 8 + 86 + 9 + 528 + 32 = 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 (3886952837) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3555678 + ... + 3556770.

Almost surely, 2^3886952832 is an apocalyptic number.

3886952832 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 3886952832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751074000).

3886952832 is an abundant number, since it is smaller than the sum of its proper divisors (9615195168).

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

3886952832 is an equidigital number, since it uses as much as digits as its factorization.

3886952832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1105 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 3886952832 is about 62345.4315246915. The cubic root of 3886952832 is about 1572.3036532464.

The spelling of 3886952832 in words is "three billion, eight hundred eighty-six million, nine hundred fifty-two thousand, eight hundred thirty-two".