3661958160 has 600 divisors, whose sum is σ = 15599358720. Its totient is φ = 791659008.

The previous prime is 3661958159. The next prime is 3661958171. The reversal of 3661958160 is 618591663.

3661958160 is a `hidden beast` number, since 3 + 6 + 6 + 1 + 9 + 581 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6032577 + ... + 6033183.

Almost surely, 2^3661958160 is an apocalyptic number.

3661958160 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 3661958160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799679360).

3661958160 is an abundant number, since it is smaller than the sum of its proper divisors (11937400560).

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

3661958160 is a wasteful number, since it uses less digits than its factorization.

3661958160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3661958160 is about 60514.1153781496. The cubic root of 3661958160 is about 1541.3613306902.

The spelling of 3661958160 in words is "three billion, six hundred sixty-one million, nine hundred fifty-eight thousand, one hundred sixty".