3833474688 has 192 divisors, whose sum is σ = 11752497120. Its totient is φ = 1242915840.

The previous prime is 3833474681. The next prime is 3833474717. The reversal of 3833474688 is 8864743383.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (3833474681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1149183 + ... + 1152513.

Almost surely, 2^3833474688 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 3833474688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5876248560).

3833474688 is an abundant number, since it is smaller than the sum of its proper divisors (7919022432).

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

3833474688 is an equidigital number, since it uses as much as digits as its factorization.

3833474688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3373 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 3833474688 is about 61915.0602680802. The cubic root of 3833474688 is about 1565.0595489527.

The spelling of 3833474688 in words is "three billion, eight hundred thirty-three million, four hundred seventy-four thousand, six hundred eighty-eight".