3823696800 has 1152 divisors, whose sum is σ = 18298828800. Its totient is φ = 752716800.

The previous prime is 3823696757. The next prime is 3823696813. The reversal of 3823696800 is 86963283.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 201247191 + ... + 201247209.

It is an arithmetic number, because the mean of its divisors is an integer number (15884400).

Almost surely, 2^3823696800 is an apocalyptic number.

3823696800 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 3823696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9149414400).

3823696800 is an abundant number, since it is smaller than the sum of its proper divisors (14475132000).

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

3823696800 is a wasteful number, since it uses less digits than its factorization.

3823696800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3823696800 is about 61836.0477391626. The cubic root of 3823696800 is about 1563.7277714235.

The spelling of 3823696800 in words is "three billion, eight hundred twenty-three million, six hundred ninety-six thousand, eight hundred".