3197161356480 has 1344 divisors, whose sum is σ = 13935172462848. Its totient is φ = 654775418880.

The previous prime is 3197161356451. The next prime is 3197161356611. The reversal of 3197161356480 is 846531617913.

3197161356480 is a `hidden beast` number, since 3 + 1 + 9 + 71 + 6 + 1 + 3 + 564 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2503649602 + ... + 2503650878.

It is an arithmetic number, because the mean of its divisors is an integer number (10368431892).

Almost surely, 2^{3197161356480} is an apocalyptic number.

3197161356480 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 3197161356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967586231424).

3197161356480 is an abundant number, since it is smaller than the sum of its proper divisors (10738011106368).

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

3197161356480 is a wasteful number, since it uses less digits than its factorization.

3197161356480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 3197161356480 in words is "three trillion, one hundred ninety-seven billion, one hundred sixty-one million, three hundred fifty-six thousand, four hundred eighty".