3823794000 has 480 divisors, whose sum is σ = 14867798400. Its totient is φ = 938995200.

The previous prime is 3823793957. The next prime is 3823794041. The reversal of 3823794000 is 4973283.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9125791 + ... + 9126209.

It is an arithmetic number, because the mean of its divisors is an integer number (30974580).

Almost surely, 2^3823794000 is an apocalyptic number.

3823794000 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 3823794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7433899200).

3823794000 is an abundant number, since it is smaller than the sum of its proper divisors (11044004400).

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

3823794000 is a wasteful number, since it uses less digits than its factorization.

3823794000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3823794000 is about 61836.8336834932. The cubic root of 3823794000 is about 1563.7410215197.

The spelling of 3823794000 in words is "three billion, eight hundred twenty-three million, seven hundred ninety-four thousand".