3825374112 has 288 divisors, whose sum is σ = 12774408192. Its totient is φ = 1063383552.

The previous prime is 3825374009. The next prime is 3825374123. The reversal of 3825374112 is 2114735283.

3825374112 is a `hidden beast` number, since 3 + 8 + 2 + 537 + 4 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17154033 + ... + 17154255.

It is an arithmetic number, because the mean of its divisors is an integer number (44355584).

Almost surely, 2^3825374112 is an apocalyptic number.

3825374112 is a gapful number since it is divisible by the number (32) 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 3825374112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6387204096).

3825374112 is an abundant number, since it is smaller than the sum of its proper divisors (8949034080).

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

3825374112 is a wasteful number, since it uses less digits than its factorization.

3825374112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 429 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3825374112 is about 61849.6088265722. The cubic root of 3825374112 is about 1563.9563875219.

The spelling of 3825374112 in words is "three billion, eight hundred twenty-five million, three hundred seventy-four thousand, one hundred twelve".