3831924096 has 384 divisors, whose sum is σ = 14809616640. Its totient is φ = 918466560.

The previous prime is 3831924091. The next prime is 3831924133. The reversal of 3831924096 is 6904291383.

It is a happy number.

3831924096 is a `hidden beast` number, since 3 + 8 + 319 + 240 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3831924091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1151491 + ... + 1154813.

It is an arithmetic number, because the mean of its divisors is an integer number (38566710).

Almost surely, 2^3831924096 is an apocalyptic number.

3831924096 is a gapful number since it is divisible by the number (36) 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 3831924096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7404808320).

3831924096 is an abundant number, since it is smaller than the sum of its proper divisors (10977692544).

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

3831924096 is a wasteful number, since it uses less digits than its factorization.

3831924096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3831924096 is about 61902.5370724012. The cubic root of 3831924096 is about 1564.8485049012.

The spelling of 3831924096 in words is "three billion, eight hundred thirty-one million, nine hundred twenty-four thousand, ninety-six".