3789834048 has 672 divisors, whose sum is σ = 15274869120. Its totient is φ = 905748480.

The previous prime is 3789834019. The next prime is 3789834053. The reversal of 3789834048 is 8404389873.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3789834048² = 28725684222760132608, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3789833985 and 3789834003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12107940 + ... + 12108252.

It is an arithmetic number, because the mean of its divisors is an integer number (22730460).

Almost surely, 2^3789834048 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 3789834048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7637434560).

3789834048 is an abundant number, since it is smaller than the sum of its proper divisors (11485035072).

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

3789834048 is a wasteful number, since it uses less digits than its factorization.

3789834048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 3789834048 is about 61561.6280486473. The cubic root of 3789834048 is about 1559.0979400286.

The spelling of 3789834048 in words is "three billion, seven hundred eighty-nine million, eight hundred thirty-four thousand, forty-eight".