3467466780096 has 336 divisors, whose sum is σ = 10578794842368. Its totient is φ = 993942835200.

The previous prime is 3467466780073. The next prime is 3467466780101. The reversal of 3467466780096 is 6900876647643.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 566483916 + ... + 566490036.

Almost surely, 2^{3467466780096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3467466780096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289397421184).

3467466780096 is an abundant number, since it is smaller than the sum of its proper divisors (7111328062272).

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

3467466780096 is a wasteful number, since it uses less digits than its factorization.

3467466780096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6928 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 66.

The spelling of 3467466780096 in words is "three trillion, four hundred sixty-seven billion, four hundred sixty-six million, seven hundred eighty thousand, ninety-six".