3246093164160 has 3072 divisors, whose sum is σ = 15672683520000. Its totient is φ = 598630072320.

The previous prime is 3246093164147. The next prime is 3246093164191. The reversal of 3246093164160 is 614613906423.

3246093164160 is a `hidden beast` number, since 3 + 2 + 4 + 609 + 31 + 6 + 4 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9042042061 + ... + 9042042419.

It is an arithmetic number, because the mean of its divisors is an integer number (5101785000).

Almost surely, 2^{3246093164160} is an apocalyptic number.

3246093164160 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 3246093164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7836341760000).

3246093164160 is an abundant number, since it is smaller than the sum of its proper divisors (12426590355840).

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

3246093164160 is a wasteful number, since it uses less digits than its factorization.

3246093164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 3246093164160 in words is "three trillion, two hundred forty-six billion, ninety-three million, one hundred sixty-four thousand, one hundred sixty".