3681199584 has 72 divisors (see below), whose sum is σ = 11084214960. Its totient is φ = 1154884608.

The previous prime is 3681199579. The next prime is 3681199591. The reversal of 3681199584 is 4859911863.

3681199584 is a `hidden beast` number, since 368 + 119 + 95 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3681199584.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 371044 + ... + 380835.

It is an arithmetic number, because the mean of its divisors is an integer number (153947430).

Almost surely, 2^3681199584 is an apocalyptic number.

3681199584 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3681199584 is an abundant number, since it is smaller than the sum of its proper divisors (7403015376).

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

3681199584 is a wasteful number, since it uses less digits than its factorization.

3681199584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751912 (or 751901 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 3681199584 is about 60672.8900251175. The cubic root of 3681199584 is about 1544.0562634423.

The spelling of 3681199584 in words is "three billion, six hundred eighty-one million, one hundred ninety-nine thousand, five hundred eighty-four".