3831838920 has 512 divisors, whose sum is σ = 15895756800. Its totient is φ = 799497216.

The previous prime is 3831838897. The next prime is 3831838921. The reversal of 3831838920 is 298381383.

3831838920 is a `hidden beast` number, since 383 + 183 + 8 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3831838921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12481407 + ... + 12481713.

It is an arithmetic number, because the mean of its divisors is an integer number (31046400).

Almost surely, 2^3831838920 is an apocalyptic number.

3831838920 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 3831838920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947878400).

3831838920 is an abundant number, since it is smaller than the sum of its proper divisors (12063917880).

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

3831838920 is a wasteful number, since it uses less digits than its factorization.

3831838920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3831838920 is about 61901.8490838521. The cubic root of 3831838920 is about 1564.8369103323.

The spelling of 3831838920 in words is "three billion, eight hundred thirty-one million, eight hundred thirty-eight thousand, nine hundred twenty".