3294345742560 has 384 divisors, whose sum is σ = 12506236444800. Its totient is φ = 806649200640.

The previous prime is 3294345742559. The next prime is 3294345742607. The reversal of 3294345742560 is 652475434923.

3294345742560 is a `hidden beast` number, since 3 + 2 + 9 + 4 + 3 + 4 + 5 + 74 + 2 + 560 = 666.

3294345742560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 = 3294345742497 and 3294345742506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2463996 + ... + 3558084.

It is an arithmetic number, because the mean of its divisors is an integer number (32568324075).

Almost surely, 2^{3294345742560} is an apocalyptic number.

3294345742560 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 3294345742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6253118222400).

3294345742560 is an abundant number, since it is smaller than the sum of its proper divisors (9211890702240).

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

3294345742560 is a wasteful number, since it uses less digits than its factorization.

3294345742560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094171 (or 1094157 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 3294345742560 in words is "three trillion, two hundred ninety-four billion, three hundred forty-five million, seven hundred forty-two thousand, five hundred sixty".