3698623584 has 72 divisors (see below), whose sum is σ = 10585083600. Its totient is φ = 1225006848.

The previous prime is 3698623561. The next prime is 3698623627. The reversal of 3698623584 is 4853268963.

3698623584 is a `hidden beast` number, since 3 + 6 + 9 + 8 + 623 + 5 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3698623584² = 27359632832242010112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3698623584.

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 11 ways as a sum of consecutive naturals, for example, 4317 + ... + 86115.

It is an arithmetic number, because the mean of its divisors is an integer number (147015050).

Almost surely, 2^3698623584 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 3698623584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292541800).

3698623584 is an abundant number, since it is smaller than the sum of its proper divisors (6886460016).

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

3698623584 is a wasteful number, since it uses less digits than its factorization.

3698623584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81972 (or 81961 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 3698623584 is about 60816.3101807402. The cubic root of 3698623584 is about 1546.4885593890.

The spelling of 3698623584 in words is "three billion, six hundred ninety-eight million, six hundred twenty-three thousand, five hundred eighty-four".