3178630728 has 512 divisors, whose sum is σ = 11612160000. Its totient is φ = 782825472.

The previous prime is 3178630711. The next prime is 3178630729. The reversal of 3178630728 is 8270368713.

3178630728 is a `hidden beast` number, since 3 + 1 + 7 + 8 + 630 + 7 + 2 + 8 = 666.

3178630728 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3178630729) 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, 35714908 + ... + 35714996.

It is an arithmetic number, because the mean of its divisors is an integer number (22680000).

Almost surely, 2^3178630728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3178630728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080000).

3178630728 is an abundant number, since it is smaller than the sum of its proper divisors (8433529272).

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

3178630728 is a wasteful number, since it uses less digits than its factorization.

3178630728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3178630728 is about 56379.3466439617. The cubic root of 3178630728 is about 1470.3250593101.

The spelling of 3178630728 in words is "three billion, one hundred seventy-eight million, six hundred thirty thousand, seven hundred twenty-eight".