3823921920 has 576 divisors, whose sum is σ = 15559778304. Its totient is φ = 778567680.

The previous prime is 3823921919. The next prime is 3823921961. The reversal of 3823921920 is 291293283.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10832464 + ... + 10832816.

It is an arithmetic number, because the mean of its divisors is an integer number (27013504).

Almost surely, 2^3823921920 is an apocalyptic number.

3823921920 is a gapful number since it is divisible by the number (30) 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 3823921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7779889152).

3823921920 is an abundant number, since it is smaller than the sum of its proper divisors (11735856384).

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

3823921920 is a wasteful number, since it uses less digits than its factorization.

3823921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 3823921920 is about 61837.8680098206. The cubic root of 3823921920 is about 1563.7584589584.

The spelling of 3823921920 in words is "three billion, eight hundred twenty-three million, nine hundred twenty-one thousand, nine hundred twenty".