3294299473920 has 576 divisors, whose sum is σ = 14052281967360. Its totient is φ = 695059218432.

The previous prime is 3294299473909. The next prime is 3294299473961. The reversal of 3294299473920 is 293749924923.

3294299473920 is a `hidden beast` number, since 3 + 294 + 299 + 4 + 7 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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 47 ways as a sum of consecutive naturals, for example, 8190157 + ... + 8582963.

It is an arithmetic number, because the mean of its divisors is an integer number (24396322860).

Almost surely, 2^{3294299473920} is an apocalyptic number.

3294299473920 is a gapful number since it is divisible by the number (30) 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 3294299473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7026140983680).

3294299473920 is an abundant number, since it is smaller than the sum of its proper divisors (10757982493440).

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

3294299473920 is a wasteful number, since it uses less digits than its factorization.

3294299473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392860 (or 392837 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 3294299473920 in words is "three trillion, two hundred ninety-four billion, two hundred ninety-nine million, four hundred seventy-three thousand, nine hundred twenty".