3497910946560 has 720 divisors, whose sum is σ = 12729390347520. Its totient is φ = 916965826560.

The previous prime is 3497910946553. The next prime is 3497910946573. The reversal of 3497910946560 is 656490197943.

3497910946560 is a `hidden beast` number, since 3 + 4 + 9 + 7 + 9 + 109 + 465 + 60 = 666.

3497910946560 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 (720).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4733302671 + ... + 4733303409.

It is an arithmetic number, because the mean of its divisors is an integer number (17679708816).

Almost surely, 2^{3497910946560} is an apocalyptic number.

3497910946560 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 3497910946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364695173760).

3497910946560 is an abundant number, since it is smaller than the sum of its proper divisors (9231479400960).

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

3497910946560 is an equidigital number, since it uses as much as digits as its factorization.

3497910946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 3497910946560 in words is "three trillion, four hundred ninety-seven billion, nine hundred ten million, nine hundred forty-six thousand, five hundred sixty".