3279436820352 has 1536 divisors, whose sum is σ = 13457409984000. Its totient is φ = 773834342400.

The previous prime is 3279436820299. The next prime is 3279436820383. The reversal of 3279436820352 is 2530286349723.

It is a happy number.

3279436820352 is a `hidden beast` number, since 3 + 2 + 79 + 4 + 368 + 203 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 918350727 + ... + 918354297.

It is an arithmetic number, because the mean of its divisors is an integer number (8761334625).

Almost surely, 2^{3279436820352} is an apocalyptic number.

3279436820352 is a gapful number since it is divisible by the number (32) 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 3279436820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6728704992000).

3279436820352 is an abundant number, since it is smaller than the sum of its proper divisors (10177973163648).

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

3279436820352 is a wasteful number, since it uses less digits than its factorization.

3279436820352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 3279436820352 in words is "three trillion, two hundred seventy-nine billion, four hundred thirty-six million, eight hundred twenty thousand, three hundred fifty-two".