3718172160 has 480 divisors, whose sum is σ = 13762869120. Its totient is φ = 961486848.

The previous prime is 3718172137. The next prime is 3718172179. The reversal of 3718172160 is 612718173.

3718172160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3718172160² = 27649608422798131200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26749371 + ... + 26749509.

It is an arithmetic number, because the mean of its divisors is an integer number (28672644).

Almost surely, 2^3718172160 is an apocalyptic number.

3718172160 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 3718172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881434560).

3718172160 is an abundant number, since it is smaller than the sum of its proper divisors (10044696960).

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

3718172160 is an equidigital number, since it uses as much as digits as its factorization.

3718172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 3718172160 is about 60976.8165781061. The cubic root of 3718172160 is about 1549.2083588430.

The spelling of 3718172160 in words is "three billion, seven hundred eighteen million, one hundred seventy-two thousand, one hundred sixty".