3844829376 has 224 divisors, whose sum is σ = 11567160000. Its totient is φ = 1252122624.

The previous prime is 3844829353. The next prime is 3844829381. The reversal of 3844829376 is 6739284483.

3844829376 is a `hidden beast` number, since 3 + 8 + 4 + 482 + 93 + 76 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25804150 + ... + 25804298.

Almost surely, 2^3844829376 is an apocalyptic number.

3844829376 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 3844829376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783580000).

3844829376 is an abundant number, since it is smaller than the sum of its proper divisors (7722330624).

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

3844829376 is a wasteful number, since it uses less digits than its factorization.

3844829376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 400 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 3844829376 is about 62006.6881553918. The cubic root of 3844829376 is about 1566.6032525612.

The spelling of 3844829376 in words is "three billion, eight hundred forty-four million, eight hundred twenty-nine thousand, three hundred seventy-six".