3661831152 has 420 divisors, whose sum is σ = 12746784600. Its totient is φ = 1015047936.

The previous prime is 3661831111. The next prime is 3661831153. The reversal of 3661831152 is 2511381663.

3661831152 is a `hidden beast` number, since 3 + 6 + 618 + 31 + 1 + 5 + 2 = 666.

3661831152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3661831153) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 24575974 + ... + 24576122.

Almost surely, 2^3661831152 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 3661831152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6373392300).

3661831152 is an abundant number, since it is smaller than the sum of its proper divisors (9084953448).

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

3661831152 is a wasteful number, since it uses less digits than its factorization.

3661831152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 204 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 3661831152 is about 60513.0659609972. The cubic root of 3661831152 is about 1541.3435107631.

The spelling of 3661831152 in words is "three billion, six hundred sixty-one million, eight hundred thirty-one thousand, one hundred fifty-two".