3830804928 has 420 divisors, whose sum is σ = 12646426320. Its totient is φ = 1144129536.

The previous prime is 3830804897. The next prime is 3830804969. The reversal of 3830804928 is 8294080383.

3830804928 is a `hidden beast` number, since 3 + 83 + 0 + 80 + 492 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 43042708 + ... + 43042796.

Almost surely, 2^3830804928 is an apocalyptic number.

3830804928 is a gapful number since it is divisible by the number (38) 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 3830804928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6323213160).

3830804928 is an abundant number, since it is smaller than the sum of its proper divisors (8815621392).

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

3830804928 is a wasteful number, since it uses less digits than its factorization.

3830804928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3830804928 is about 61893.4966535257. The cubic root of 3830804928 is about 1564.6961446373.

The spelling of 3830804928 in words is "three billion, eight hundred thirty million, eight hundred four thousand, nine hundred twenty-eight".