3834235872 has 192 divisors, whose sum is σ = 11822630400. Its totient is φ = 1208939904.

The previous prime is 3834235819. The next prime is 3834235877. The reversal of 3834235872 is 2785324383.

3834235872 is a `hidden beast` number, since 38 + 34 + 2 + 3 + 587 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3834235877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5925853 + ... + 5926499.

It is an arithmetic number, because the mean of its divisors is an integer number (61576200).

Almost surely, 2^3834235872 is an apocalyptic number.

3834235872 is a gapful number since it is divisible by the number (32) 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 3834235872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5911315200).

3834235872 is an abundant number, since it is smaller than the sum of its proper divisors (7988394528).

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

3834235872 is an equidigital number, since it uses as much as digits as its factorization.

3834235872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 671 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 3834235872 is about 61921.2069649809. The cubic root of 3834235872 is about 1565.1631294329.

The spelling of 3834235872 in words is "three billion, eight hundred thirty-four million, two hundred thirty-five thousand, eight hundred seventy-two".