3835486368 has 288 divisors, whose sum is σ = 13043721600. Its totient is φ = 1067996160.

The previous prime is 3835486367. The next prime is 3835486373. The reversal of 3835486368 is 8636845383.

3835486368 is a `hidden beast` number, since 38 + 3 + 548 + 6 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3835486368² = 29421911358227662848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3835486363) 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 47 ways as a sum of consecutive naturals, for example, 4049671 + ... + 4050617.

It is an arithmetic number, because the mean of its divisors is an integer number (45290700).

Almost surely, 2^3835486368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3835486368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6521860800).

3835486368 is an abundant number, since it is smaller than the sum of its proper divisors (9208235232).

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

3835486368 is a wasteful number, since it uses less digits than its factorization.

3835486368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1000 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The square root of 3835486368 is about 61931.3036194137. The cubic root of 3835486368 is about 1565.3332648097. Note that the first 3 decimals are identical.

The spelling of 3835486368 in words is "three billion, eight hundred thirty-five million, four hundred eighty-six thousand, three hundred sixty-eight".