3466143700000 has 144 divisors (see below), whose sum is σ = 8900267221440. Its totient is φ = 1326175840000.

The previous prime is 3466143699937. The next prime is 3466143700003. The reversal of 3466143700000 is 73416643.

It is a super-3 number, since 3×3466143700000³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3466143700003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1546491 + ... + 3053509.

It is an arithmetic number, because the mean of its divisors is an integer number (61807411260).

Almost surely, 2^{3466143700000} 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 3466143700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4450133610720).

3466143700000 is an abundant number, since it is smaller than the sum of its proper divisors (5434123521440).

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

3466143700000 is an equidigital number, since it uses as much as digits as its factorization.

3466143700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507077 (or 1507049 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The spelling of 3466143700000 in words is "three trillion, four hundred sixty-six billion, one hundred forty-three million, seven hundred thousand".