3661827624 has 144 divisors (see below), whose sum is σ = 12424213620. Its totient is φ = 965744640.

The previous prime is 3661827623. The next prime is 3661827683. The reversal of 3661827624 is 4267281663.

3661827624 is a `hidden beast` number, since 3 + 6 + 6 + 18 + 2 + 7 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3632472900 + 29354724 = 60270^2 + 5418^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3661827624.

It is not an unprimeable number, because it can be changed into a prime (3661827623) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 5944 + ... + 85784.

Almost surely, 2^3661827624 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 3661827624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6212106810).

3661827624 is an abundant number, since it is smaller than the sum of its proper divisors (8762385996).

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

3661827624 is a wasteful number, since it uses less digits than its factorization.

3661827624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79880 (or 79866 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 3661827624 is about 60513.0368102610. The cubic root of 3661827624 is about 1541.3430157592.

The spelling of 3661827624 in words is "three billion, six hundred sixty-one million, eight hundred twenty-seven thousand, six hundred twenty-four".