3294202728960 has 1920 divisors, whose sum is σ = 14285634232320. Its totient is φ = 712522137600.

The previous prime is 3294202728941. The next prime is 3294202728967. The reversal of 3294202728960 is 698272024923.

3294202728960 is a `hidden beast` number, since 3 + 294 + 2 + 0 + 272 + 89 + 6 + 0 = 666.

3294202728960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×3294202728960² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3294202728897 and 3294202728906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3294202728967) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3983316067 + ... + 3983316893.

It is an arithmetic number, because the mean of its divisors is an integer number (7440434496).

Almost surely, 2^{3294202728960} is an apocalyptic number.

3294202728960 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 3294202728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142817116160).

3294202728960 is an abundant number, since it is smaller than the sum of its proper divisors (10991431503360).

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

3294202728960 is a wasteful number, since it uses less digits than its factorization.

3294202728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3294202728960 in words is "three trillion, two hundred ninety-four billion, two hundred two million, seven hundred twenty-eight thousand, nine hundred sixty".