3463223564160 has 192 divisors, whose sum is σ = 12044982222000. Its totient is φ = 916881997824.

The previous prime is 3463223564117. The next prime is 3463223564167. The reversal of 3463223564160 is 614653223643.

3463223564160 is a `hidden beast` number, since 3 + 4 + 6 + 3 + 2 + 23 + 564 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3463223564167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1362145 + ... + 2963424.

Almost surely, 2^{3463223564160} is an apocalyptic number.

3463223564160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3463223564160 is an abundant number, since it is smaller than the sum of its proper divisors (8581758657840).

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

3463223564160 is a wasteful number, since it uses less digits than its factorization.

3463223564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325733 (or 4325718 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 3463223564160 in words is "three trillion, four hundred sixty-three billion, two hundred twenty-three million, five hundred sixty-four thousand, one hundred sixty".