3675188160 has 336 divisors, whose sum is σ = 15083759520. Its totient is φ = 839946240.

The previous prime is 3675188137. The next prime is 3675188189. The reversal of 3675188160 is 618815763.

3675188160 is a `hidden beast` number, since 367 + 51 + 88 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3675188160² = 27014016022808371200, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 419020 + ... + 427700.

Almost surely, 2^3675188160 is an apocalyptic number.

3675188160 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 3675188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7541879760).

3675188160 is an abundant number, since it is smaller than the sum of its proper divisors (11408571360).

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

3675188160 is a wasteful number, since it uses less digits than its factorization.

3675188160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8721 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3675188160 is about 60623.3301625703. The cubic root of 3675188160 is about 1543.2153207218.

The spelling of 3675188160 in words is "three billion, six hundred seventy-five million, one hundred eighty-eight thousand, one hundred sixty".