3288804012036 has 81 divisors (see below), whose sum is σ = 8345033783541. Its totient is φ = 1092107821248.

The previous prime is 3288804012029. The next prime is 3288804012047. The reversal of 3288804012036 is 6302104088823.

The square root of 3288804012036 is 1813506.

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

3288804012036 is a `hidden beast` number, since 32 + 8 + 8 + 8 + 0 + 401 + 203 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3005694885636 + 283109126400 = 1733694^2 + 532080^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3288804011982 and 3288804012000.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4450343355 + ... + 4450344093.

Almost surely, 2^{3288804012036} is an apocalyptic number.

3288804012036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3288804012036 is the 1813506-th square number.

It is an amenable number.

3288804012036 is an abundant number, since it is smaller than the sum of its proper divisors (5056229771505).

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

3288804012036 is an frugal number, since it uses more digits than its factorization.

3288804012036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 3288804012036 in words is "three trillion, two hundred eighty-eight billion, eight hundred four million, twelve thousand, thirty-six".