3854821756900 has 27 divisors (see below), whose sum is σ = 8365005817819. Its totient is φ = 1541920849280.

The previous prime is 3854821756889. The next prime is 3854821756909. The reversal of 3854821756900 is 96571284583.

The square root of 3854821756900 is 1963370.

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 304732704676 + 3550089052224 = 552026^2 + 1884168^2 .

It is a super-2 number, since 2×3854821756900² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3854821756909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19535532 + ... + 19731868.

It is a 1-persistent number, because it is pandigital, but 2⋅3854821756900 = 7709643513800 is not.

Almost surely, 2^{3854821756900} is an apocalyptic number.

3854821756900 is the 1963370-th square number.

It is an amenable number.

3854821756900 is an abundant number, since it is smaller than the sum of its proper divisors (4510184060919).

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

3854821756900 is an frugal number, since it uses more digits than its factorization.

3854821756900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392688 (or 196344 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 58.

The spelling of 3854821756900 in words is "three trillion, eight hundred fifty-four billion, eight hundred twenty-one million, seven hundred fifty-six thousand, nine hundred".