3661382160 has 120 divisors (see below), whose sum is σ = 12464760984. Its totient is φ = 962979840.

The previous prime is 3661382149. The next prime is 3661382161. The reversal of 3661382160 is 612831663.

3661382160 is a `hidden beast` number, since 36 + 613 + 8 + 2 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19501056 + 3641881104 = 4416^2 + 60348^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (3661382161) 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, 17730 + ... + 87390.

Almost surely, 2^3661382160 is an apocalyptic number.

3661382160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3661382160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6232380492).

3661382160 is an abundant number, since it is smaller than the sum of its proper divisors (8803378824).

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

3661382160 is a wasteful number, since it uses less digits than its factorization.

3661382160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69753 (or 69744 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3661382160 is about 60509.3559707918. The cubic root of 3661382160 is about 1541.2805113907.

The spelling of 3661382160 in words is "three billion, six hundred sixty-one million, three hundred eighty-two thousand, one hundred sixty".