3285323002116 has 135 divisors (see below), whose sum is σ = 8683068881487. Its totient is φ = 1083177489600.

The previous prime is 3285323002103. The next prime is 3285323002163. The reversal of 3285323002116 is 6112003235823.

The square root of 3285323002116 is 1812546.

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

3285323002116 is a `hidden beast` number, since 3 + 2 + 8 + 532 + 3 + 0 + 0 + 2 + 116 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2293498224900 + 991824777216 = 1514430^2 + 995904^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3295208130 + ... + 3295209126.

Almost surely, 2^{3285323002116} is an apocalyptic number.

3285323002116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3285323002116 is the 1812546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3285323002116

3285323002116 is an abundant number, since it is smaller than the sum of its proper divisors (5397745879371).

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

3285323002116 is an frugal number, since it uses more digits than its factorization.

3285323002116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 3285323002116 by its sum of digits (36), we get a square (118271628076176 = 10875276²).

3285323002116 divided by its sum of digits (36) gives a square (91258972281 = 302091²).

Adding to 3285323002116 its reverse (6112003235823), we get a palindrome (9397326237939).

The spelling of 3285323002116 in words is "three trillion, two hundred eighty-five billion, three hundred twenty-three million, two thousand, one hundred sixteen".