3836817920 has 160 divisors (see below), whose sum is σ = 10229345280. Its totient is φ = 1370603520.

The previous prime is 3836817899. The next prime is 3836817947. The reversal of 3836817920 is 297186383.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1029821 + ... + 1033539.

It is an arithmetic number, because the mean of its divisors is an integer number (63933408).

Almost surely, 2^3836817920 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 3836817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114672640).

3836817920 is an abundant number, since it is smaller than the sum of its proper divisors (6392527360).

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

3836817920 is a wasteful number, since it uses less digits than its factorization.

3836817920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 3836817920 is about 61942.0529204514. The cubic root of 3836817920 is about 1565.5143875569.

The spelling of 3836817920 in words is "three billion, eight hundred thirty-six million, eight hundred seventeen thousand, nine hundred twenty".