3838629312 has 448 divisors, whose sum is σ = 13811097600. Its totient is φ = 1021870080.

The previous prime is 3838629293. The next prime is 3838629313. The reversal of 3838629312 is 2139268383.

3838629312 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 629 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3838629313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10874128 + ... + 10874480.

Almost surely, 2^3838629312 is an apocalyptic number.

3838629312 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 3838629312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905548800).

3838629312 is an abundant number, since it is smaller than the sum of its proper divisors (9972468288).

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

3838629312 is a wasteful number, since it uses less digits than its factorization.

3838629312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 425 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 3838629312 is about 61956.6728609599. The cubic root of 3838629312 is about 1565.7607126934.

The spelling of 3838629312 in words is "three billion, eight hundred thirty-eight million, six hundred twenty-nine thousand, three hundred twelve".