3825480960 has 648 divisors, whose sum is σ = 16030568736. Its totient is φ = 870912000.

The previous prime is 3825480931. The next prime is 3825480979. The reversal of 3825480960 is 690845283.

3825480960 is a `hidden beast` number, since 3 + 82 + 5 + 480 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15240835 + ... + 15241085.

It is an arithmetic number, because the mean of its divisors is an integer number (24738532).

Almost surely, 2^3825480960 is an apocalyptic number.

3825480960 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 3825480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015284368).

3825480960 is an abundant number, since it is smaller than the sum of its proper divisors (12205087776).

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

3825480960 is an equidigital number, since it uses as much as digits as its factorization.

3825480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 268 counting only the distinct ones).

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

The square root of 3825480960 is about 61850.4725931823. The cubic root of 3825480960 is about 1563.9709485428.

The spelling of 3825480960 in words is "three billion, eight hundred twenty-five million, four hundred eighty thousand, nine hundred sixty".