3294249833952 has 864 divisors, whose sum is σ = 12852509604480. Its totient is φ = 788680488960.

The previous prime is 3294249833909. The next prime is 3294249833981. The reversal of 3294249833952 is 2593389424923.

3294249833952 is a `hidden beast` number, since 3 + 2 + 9 + 4 + 249 + 8 + 339 + 52 = 666.

3294249833952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3294249833952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 109113003 + ... + 109143189.

It is an arithmetic number, because the mean of its divisors is an integer number (14875589820).

Almost surely, 2^{3294249833952} is an apocalyptic number.

3294249833952 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 3294249833952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426254802240).

3294249833952 is an abundant number, since it is smaller than the sum of its proper divisors (9558259770528).

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

3294249833952 is a wasteful number, since it uses less digits than its factorization.

3294249833952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30284 (or 30266 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 63.

It can be divided in two parts, 32942 and 49833952, that added together give a palindrome (49866894).

The spelling of 3294249833952 in words is "three trillion, two hundred ninety-four billion, two hundred forty-nine million, eight hundred thirty-three thousand, nine hundred fifty-two".