3146238222336 has 1792 divisors, whose sum is σ = 11584379980800. Its totient is φ = 832359628800.

The previous prime is 3146238222313. The next prime is 3146238222343. The reversal of 3146238222336 is 6332228326413.

3146238222336 is a `hidden beast` number, since 3 + 1 + 4 + 62 + 38 + 222 + 336 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3146238222291 and 3146238222300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51577675746 + ... + 51577675806.

Almost surely, 2^{3146238222336} is an apocalyptic number.

3146238222336 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 3146238222336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5792189990400).

3146238222336 is an abundant number, since it is smaller than the sum of its proper divisors (8438141758464).

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

3146238222336 is a wasteful number, since it uses less digits than its factorization.

3146238222336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 166 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The spelling of 3146238222336 in words is "three trillion, one hundred forty-six billion, two hundred thirty-eight million, two hundred twenty-two thousand, three hundred thirty-six".