3858948576 has 144 divisors (see below), whose sum is σ = 12562149600. Its totient is φ = 1100749824.

The previous prime is 3858948571. The next prime is 3858948593. The reversal of 3858948576 is 6758498583.

3858948576 is a `hidden beast` number, since 3 + 8 + 5 + 89 + 485 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3858948576² = 29782968224424855552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (58060800) is a multiple of the sum of its prime divisors (3150).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3858948571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1670110 + ... + 1672418.

It is an arithmetic number, because the mean of its divisors is an integer number (87237150).

Almost surely, 2^3858948576 is an apocalyptic number.

3858948576 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 3858948576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6281074800).

3858948576 is an abundant number, since it is smaller than the sum of its proper divisors (8703201024).

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

3858948576 is a wasteful number, since it uses less digits than its factorization.

3858948576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161 (or 3150 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The square root of 3858948576 is about 62120.4360577097. The cubic root of 3858948576 is about 1568.5185663340.

The spelling of 3858948576 in words is "three billion, eight hundred fifty-eight million, nine hundred forty-eight thousand, five hundred seventy-six".