3825934560 has 480 divisors, whose sum is σ = 15583119552. Its totient is φ = 865935360.

The previous prime is 3825934547. The next prime is 3825934571. The reversal of 3825934560 is 654395283.

3825934560 is a `hidden beast` number, since 3 + 8 + 2 + 59 + 34 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 16420204 + ... + 16420436.

Almost surely, 2^3825934560 is an apocalyptic number.

3825934560 is a gapful number since it is divisible by the number (30) 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 3825934560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7791559776).

3825934560 is an abundant number, since it is smaller than the sum of its proper divisors (11757184992).

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

3825934560 is a wasteful number, since it uses less digits than its factorization.

3825934560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 3825934560 is about 61854.1393926065. The cubic root of 3825934560 is about 1564.0327611786.

The spelling of 3825934560 in words is "three billion, eight hundred twenty-five million, nine hundred thirty-four thousand, five hundred sixty".