3826022400 has 648 divisors, whose sum is σ = 15090206040. Its totient is φ = 924549120.

The previous prime is 3826022393. The next prime is 3826022413. The reversal of 3826022400 is 42206283.

3826022400 is a `hidden beast` number, since 38 + 2 + 602 + 24 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 166348789 + ... + 166348811.

It is an arithmetic number, because the mean of its divisors is an integer number (23287355).

Almost surely, 2^3826022400 is an apocalyptic number.

3826022400 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 3826022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7545103020).

3826022400 is an abundant number, since it is smaller than the sum of its proper divisors (11264183640).

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

3826022400 is a wasteful number, since it uses less digits than its factorization.

3826022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3826022400 is about 61854.8494461024. The cubic root of 3826022400 is about 1564.0447306800.

Adding to 3826022400 its reverse (42206283), we get a palindrome (3868228683).

The spelling of 3826022400 in words is "three billion, eight hundred twenty-six million, twenty-two thousand, four hundred".