3825887760 has 120 divisors (see below), whose sum is σ = 12859813824. Its totient is φ = 1019347200.

The previous prime is 3825887759. The next prime is 3825887789. The reversal of 3825887760 is 677885283.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 3825887697 and 3825887706.

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 23 ways as a sum of consecutive naturals, for example, 1498485 + ... + 1501035.

Almost surely, 2^3825887760 is an apocalyptic number.

3825887760 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 3825887760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6429906912).

3825887760 is an abundant number, since it is smaller than the sum of its proper divisors (9033926064).

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

3825887760 is a wasteful number, since it uses less digits than its factorization.

3825887760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 3825887760 is about 61853.7610820878. The cubic root of 3825887760 is about 1564.0263839105.

The spelling of 3825887760 in words is "three billion, eight hundred twenty-five million, eight hundred eighty-seven thousand, seven hundred sixty".