3682725984 has 144 divisors (see below), whose sum is σ = 12223830528. Its totient is φ = 1029793536.

The previous prime is 3682725967. The next prime is 3682725989. The reversal of 3682725984 is 4895272863.

3682725984 is a `hidden beast` number, since 368 + 27 + 259 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 3682725984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682725989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75319 + ... + 114185.

It is an arithmetic number, because the mean of its divisors is an integer number (84887712).

Almost surely, 2^3682725984 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 3682725984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6111915264).

3682725984 is an abundant number, since it is smaller than the sum of its proper divisors (8541104544).

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

3682725984 is a wasteful number, since it uses less digits than its factorization.

3682725984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38937 (or 38926 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 3682725984 is about 60685.4676508305. The cubic root of 3682725984 is about 1544.2696469466.

The spelling of 3682725984 in words is "three billion, six hundred eighty-two million, seven hundred twenty-five thousand, nine hundred eighty-four".