3836849760 has 72 divisors (see below), whose sum is σ = 13093254720. Its totient is φ = 1023159552.

The previous prime is 3836849749. The next prime is 3836849761. The reversal of 3836849760 is 679486383.

3836849760 is a `hidden beast` number, since 38 + 3 + 68 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 3836849697 and 3836849706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3836849761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1330800 + ... + 1333679.

It is an arithmetic number, because the mean of its divisors is an integer number (181850760).

Almost surely, 2^3836849760 is an apocalyptic number.

3836849760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3836849760 is an abundant number, since it is smaller than the sum of its proper divisors (9256404960).

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

3836849760 is a wasteful number, since it uses less digits than its factorization.

3836849760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664500 (or 2664489 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3836849760 is about 61942.3099343252. The cubic root of 3836849760 is about 1565.5187180413.

The spelling of 3836849760 in words is "three billion, eight hundred thirty-six million, eight hundred forty-nine thousand, seven hundred sixty".