3825459540 has 144 divisors (see below), whose sum is σ = 13325370240. Its totient is φ = 870186240.

The previous prime is 3825459509. The next prime is 3825459593. The reversal of 3825459540 is 459545283.

3825459540 is a `hidden beast` number, since 3 + 8 + 2 + 54 + 59 + 540 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258666 + ... + 273054.

Almost surely, 2^3825459540 is an apocalyptic number.

3825459540 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 3825459540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662685120).

3825459540 is an abundant number, since it is smaller than the sum of its proper divisors (9499910700).

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

3825459540 is a wasteful number, since it uses less digits than its factorization.

3825459540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14622 (or 14617 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 3825459540 is about 61850.2994333900. The cubic root of 3825459540 is about 1563.9680294919.

The spelling of 3825459540 in words is "three billion, eight hundred twenty-five million, four hundred fifty-nine thousand, five hundred forty".