3823925760 has 320 divisors, whose sum is σ = 13770725760. Its totient is φ = 1018220544.

The previous prime is 3823925747. The next prime is 3823925767. The reversal of 3823925760 is 675293283.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3823925767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5598379 + ... + 5599061.

It is an arithmetic number, because the mean of its divisors is an integer number (43033518).

Almost surely, 2^3823925760 is an apocalyptic number.

3823925760 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 3823925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885362880).

3823925760 is an abundant number, since it is smaller than the sum of its proper divisors (9946800000).

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

3823925760 is an frugal number, since it uses more digits than its factorization.

3823925760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3823925760 is about 61837.8990587488. The cubic root of 3823925760 is about 1563.7589824027.

The spelling of 3823925760 in words is "three billion, eight hundred twenty-three million, nine hundred twenty-five thousand, seven hundred sixty".