3993880176 has 320 divisors, whose sum is σ = 14264087040. Its totient is φ = 1051176960.

The previous prime is 3993880169. The next prime is 3993880211. The reversal of 3993880176 is 6710883993.

3993880176 is a `hidden beast` number, since 3 + 99 + 388 + 0 + 176 = 666.

3993880176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1048291 + ... + 1052093.

It is an arithmetic number, because the mean of its divisors is an integer number (44575272).

Almost surely, 2^3993880176 is an apocalyptic number.

3993880176 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 3993880176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132043520).

3993880176 is an abundant number, since it is smaller than the sum of its proper divisors (10270206864).

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

3993880176 is a wasteful number, since it uses less digits than its factorization.

3993880176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 3993880176 is about 63197.1532270244. The cubic root of 3993880176 is about 1586.5910875030.

The spelling of 3993880176 in words is "three billion, nine hundred ninety-three million, eight hundred eighty thousand, one hundred seventy-six".