3824725905 has 384 divisors, whose sum is σ = 9609707520. Its totient is φ = 1402790400.

The previous prime is 3824725901. The next prime is 3824725921. The reversal of 3824725905 is 5095274283.

3824725905 is a `hidden beast` number, since 38 + 24 + 7 + 2 + 590 + 5 = 666.

3824725905 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3824725905 - 2² = 3824725901 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3824725901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 46080994 + ... + 46081076.

It is an arithmetic number, because the mean of its divisors is an integer number (25025280).

Almost surely, 2^3824725905 is an apocalyptic number.

3824725905 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3824725905 is an abundant number, since it is smaller than the sum of its proper divisors (5784981615).

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

3824725905 is a wasteful number, since it uses less digits than its factorization.

3824725905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3824725905 is about 61844.3684178277. The cubic root of 3824725905 is about 1563.8680454222.

The spelling of 3824725905 in words is "three billion, eight hundred twenty-four million, seven hundred twenty-five thousand, nine hundred five".