3825175104 has 105 divisors (see below), whose sum is σ = 11352232947. Its totient is φ = 1273574016.

The previous prime is 3825175099. The next prime is 3825175111. The reversal of 3825175104 is 4015715283.

The square root of 3825175104 is 61848.

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

3825175104 is a `hidden beast` number, since 38 + 2 + 517 + 5 + 104 = 666.

It is a super-2 number, since 2×3825175104² = 29263929152522821632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 4452627 + ... + 4453485.

Almost surely, 2^3825175104 is an apocalyptic number.

3825175104 is the 61848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3825175104

3825175104 is an abundant number, since it is smaller than the sum of its proper divisors (7527057843).

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

3825175104 is an frugal number, since it uses more digits than its factorization.

3825175104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The cubic root of 3825175104 is about 1563.9292664073.

Multiplying 3825175104 by its sum of digits (36), we get a square (137706303744 = 371088²).

3825175104 divided by its sum of digits (36) gives a square (106254864 = 10308²).

It can be divided in two parts, 3825 and 175104, that added together give a square (178929 = 423²).

The spelling of 3825175104 in words is "three billion, eight hundred twenty-five million, one hundred seventy-five thousand, one hundred four".