3836885760 has 360 divisors, whose sum is σ = 14334899040. Its totient is φ = 978075648.

The previous prime is 3836885729. The next prime is 3836885777. The reversal of 3836885760 is 675886383.

It is a happy number.

3836885760 is a `hidden beast` number, since 3 + 8 + 3 + 68 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3836885697 and 3836885706.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2383836 + ... + 2385444.

It is an arithmetic number, because the mean of its divisors is an integer number (39819164).

Almost surely, 2^3836885760 is an apocalyptic number.

3836885760 is a gapful number since it is divisible by the number (30) 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 3836885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7167449520).

3836885760 is an abundant number, since it is smaller than the sum of its proper divisors (10498013280).

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

3836885760 is a wasteful number, since it uses less digits than its factorization.

3836885760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3836885760 is about 61942.6005266166. The cubic root of 3836885760 is about 1565.5236142888.

The spelling of 3836885760 in words is "three billion, eight hundred thirty-six million, eight hundred eighty-five thousand, seven hundred sixty".