33431928336 has 105 divisors (see below), whose sum is σ = 97174512669. Its totient is φ = 11137393728.

The previous prime is 33431928329. The next prime is 33431928373. The reversal of 33431928336 is 63382913433.

The square root of 33431928336 is 182844.

It is a perfect power (a square), and thus also a powerful number.

33431928336 is a `hidden beast` number, since 334 + 3 + 1 + 9 + 283 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12737379600 + 20694548736 = 112860^2 + 143856^2 .

It is a super-2 number, since 2×33431928336² (a number of 22 digits) contains 22 as substring.

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 = 33431928291 and 33431928300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 19746306 + ... + 19747998.

Almost surely, 2^33431928336 is an apocalyptic number.

33431928336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

33431928336 is the 182844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33431928336

33431928336 is an abundant number, since it is smaller than the sum of its proper divisors (63742584333).

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

33431928336 is an frugal number, since it uses more digits than its factorization.

33431928336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 1698 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The spelling of 33431928336 in words is "thirty-three billion, four hundred thirty-one million, nine hundred twenty-eight thousand, three hundred thirty-six".