3826838400 has 768 divisors, whose sum is σ = 16318955520. Its totient is φ = 764928000.

The previous prime is 3826838359. The next prime is 3826838401. The reversal of 3826838400 is 48386283.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3826838401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22915117 + ... + 22915283.

It is an arithmetic number, because the mean of its divisors is an integer number (21248640).

Almost surely, 2^3826838400 is an apocalyptic number.

3826838400 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 3826838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8159477760).

3826838400 is an abundant number, since it is smaller than the sum of its proper divisors (12492117120).

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

3826838400 is a wasteful number, since it uses less digits than its factorization.

3826838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 3826838400 is about 61861.4451819548. The cubic root of 3826838400 is about 1564.1559140139.

The spelling of 3826838400 in words is "three billion, eight hundred twenty-six million, eight hundred thirty-eight thousand, four hundred".