3816826468900 has 81 divisors (see below), whose sum is σ = 8392075972371. Its totient is φ = 1506795338880.

The previous prime is 3816826468843. The next prime is 3816826468937. The reversal of 3816826468900 is 98646286183.

The square root of 3816826468900 is 1953670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 49842348516 + 3766984120384 = 223254^2 + 1940872^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1543398064 + ... + 1543400536.

Almost surely, 2^{3816826468900} is an apocalyptic number.

3816826468900 is the 1953670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3816826468900

3816826468900 is an abundant number, since it is smaller than the sum of its proper divisors (4575249503471).

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

3816826468900 is an frugal number, since it uses more digits than its factorization.

3816826468900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5118 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 61.

The spelling of 3816826468900 in words is "three trillion, eight hundred sixteen billion, eight hundred twenty-six million, four hundred sixty-eight thousand, nine hundred".