3853693824 has 256 divisors, whose sum is σ = 11350886400. Its totient is φ = 1153105920.

The previous prime is 3853693787. The next prime is 3853693843. The reversal of 3853693824 is 4283963583.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 27724347 + ... + 27724485.

It is an arithmetic number, because the mean of its divisors is an integer number (44339400).

Almost surely, 2^3853693824 is an apocalyptic number.

3853693824 is a gapful number since it is divisible by the number (34) 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 3853693824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5675443200).

3853693824 is an abundant number, since it is smaller than the sum of its proper divisors (7497192576).

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

3853693824 is a wasteful number, since it uses less digits than its factorization.

3853693824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 329 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 51.

The square root of 3853693824 is about 62078.1267758620. The cubic root of 3853693824 is about 1567.8062894117.

The spelling of 3853693824 in words is "three billion, eight hundred fifty-three million, six hundred ninety-three thousand, eight hundred twenty-four".