3843904896 has 480 divisors, whose sum is σ = 13166445600. Its totient is φ = 1106307072.

The previous prime is 3843904879. The next prime is 3843904903. The reversal of 3843904896 is 6984093483.

It is a happy number.

3843904896 is a `hidden beast` number, since 38 + 43 + 90 + 489 + 6 = 666.

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

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, 48656985 + ... + 48657063.

It is an arithmetic number, because the mean of its divisors is an integer number (27430095).

Almost surely, 2^3843904896 is an apocalyptic number.

3843904896 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 3843904896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583222800).

3843904896 is an abundant number, since it is smaller than the sum of its proper divisors (9322540704).

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

3843904896 is a wasteful number, since it uses less digits than its factorization.

3843904896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 3843904896 is about 61999.2330275141. The cubic root of 3843904896 is about 1566.4776804982.

The spelling of 3843904896 in words is "three billion, eight hundred forty-three million, nine hundred four thousand, eight hundred ninety-six".