3852684900 has 81 divisors (see below), whose sum is σ = 12081866251. Its totient is φ = 1026886080.

The previous prime is 3852684881. The next prime is 3852684911. The reversal of 3852684900 is 94862583.

The square root of 3852684900 is 62070.

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

3852684900 is a `hidden beast` number, since 38 + 526 + 8 + 4 + 90 + 0 = 666.

3852684900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 952216164 + 2900468736 = 30858^2 + 53856^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1861066 + ... + 1863134.

Almost surely, 2^3852684900 is an apocalyptic number.

3852684900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3852684900 is the 62070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3852684900

3852684900 is an abundant number, since it is smaller than the sum of its proper divisors (8229181351).

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

3852684900 is a wasteful number, since it uses less digits than its factorization.

3852684900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The cubic root of 3852684900 is about 1567.6694565852.

The spelling of 3852684900 in words is "three billion, eight hundred fifty-two million, six hundred eighty-four thousand, nine hundred".