3826502400 has 432 divisors, whose sum is σ = 14672060928. Its totient is φ = 860160000.

The previous prime is 3826502377. The next prime is 3826502413. The reversal of 3826502400 is 42056283.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9542200 + ... + 9542600.

It is an arithmetic number, because the mean of its divisors is an integer number (33963104).

Almost surely, 2^3826502400 is an apocalyptic number.

3826502400 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 3826502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7336030464).

3826502400 is an abundant number, since it is smaller than the sum of its proper divisors (10845558528).

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

3826502400 is a wasteful number, since it uses less digits than its factorization.

3826502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3826502400 is about 61858.7293758933. The cubic root of 3826502400 is about 1564.1101345554.

Adding to 3826502400 its reverse (42056283), we get a palindrome (3868558683).

The spelling of 3826502400 in words is "three billion, eight hundred twenty-six million, five hundred two thousand, four hundred".