3680050176 has 264 divisors, whose sum is σ = 11976227328. Its totient is φ = 1078272000.

The previous prime is 3680050139. The next prime is 3680050193. The reversal of 3680050176 is 6710500863.

3680050176 is a `hidden beast` number, since 3 + 6 + 80 + 0 + 501 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3680050176.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3142071 + ... + 3143241.

Almost surely, 2^3680050176 is an apocalyptic number.

3680050176 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 3680050176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5988113664).

3680050176 is an abundant number, since it is smaller than the sum of its proper divisors (8296177152).

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

3680050176 is a wasteful number, since it uses less digits than its factorization.

3680050176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3680050176 is about 60663.4171144356. The cubic root of 3680050176 is about 1543.8955427019.

The spelling of 3680050176 in words is "three billion, six hundred eighty million, fifty thousand, one hundred seventy-six".