3858630048 has 864 divisors, whose sum is σ = 15371778240. Its totient is φ = 940584960.

The previous prime is 3858630037. The next prime is 3858630049. The reversal of 3858630048 is 8400368583.

3858630048 is a `hidden beast` number, since 3 + 8 + 5 + 8 + 630 + 0 + 4 + 8 = 666.

3858630048 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×3858630048³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3858629985 and 3858630012.

It is not an unprimeable number, because it can be changed into a prime (3858630049) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 94112908 + ... + 94112948.

It is an arithmetic number, because the mean of its divisors is an integer number (17791410).

Almost surely, 2^3858630048 is an apocalyptic number.

3858630048 is a gapful number since it is divisible by the number (38) 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 3858630048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7685889120).

3858630048 is an abundant number, since it is smaller than the sum of its proper divisors (11513148192).

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

3858630048 is a wasteful number, since it uses less digits than its factorization.

3858630048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3858630048 is about 62117.8722108219. The cubic root of 3858630048 is about 1568.4754085654.

The spelling of 3858630048 in words is "three billion, eight hundred fifty-eight million, six hundred thirty thousand, forty-eight".