3825613584 has 160 divisors (see below), whose sum is σ = 11854519040. Its totient is φ = 1174238208.

The previous prime is 3825613573. The next prime is 3825613601. The reversal of 3825613584 is 4853165283.

3825613584 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 61 + 3 + 584 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4082364 + ... + 4083300.

It is an arithmetic number, because the mean of its divisors is an integer number (74090744).

Almost surely, 2^3825613584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3825613584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927259520).

3825613584 is an abundant number, since it is smaller than the sum of its proper divisors (8028905456).

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

3825613584 is a wasteful number, since it uses less digits than its factorization.

3825613584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1682 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 3825613584 is about 61851.5447179777. The cubic root of 3825613584 is about 1563.9890218856.

The spelling of 3825613584 in words is "three billion, eight hundred twenty-five million, six hundred thirteen thousand, five hundred eighty-four".