3671662176 has 768 divisors, whose sum is σ = 14509393920. Its totient is φ = 875888640.

The previous prime is 3671662171. The next prime is 3671662207. The reversal of 3671662176 is 6712661763.

3671662176 is a `hidden beast` number, since 3 + 6 + 7 + 16 + 621 + 7 + 6 = 666.

3671662176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3671662176² = 26962206269338109952, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3671662171) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54800895 + ... + 54800961.

It is an arithmetic number, because the mean of its divisors is an integer number (18892440).

Almost surely, 2^3671662176 is an apocalyptic number.

3671662176 is a gapful number since it is divisible by the number (36) 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 3671662176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254696960).

3671662176 is an abundant number, since it is smaller than the sum of its proper divisors (10837731744).

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

3671662176 is a wasteful number, since it uses less digits than its factorization.

3671662176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 3671662176 is about 60594.2421026949. The cubic root of 3671662176 is about 1542.7216413627.

The spelling of 3671662176 in words is "three billion, six hundred seventy-one million, six hundred sixty-two thousand, one hundred seventy-six".