3459204144000 has 3072 divisors, whose sum is σ = 15271191936000. Its totient is φ = 775982592000.

The previous prime is 3459204143987. The next prime is 3459204144029. The reversal of 3459204144000 is 4414029543.

3459204144000 is a `hidden beast` number, since 3 + 4 + 5 + 9 + 204 + 1 + 440 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 383 ways as a sum of consecutive naturals, for example, 80446607979 + ... + 80446608021.

It is an arithmetic number, because the mean of its divisors is an integer number (4971091125).

Almost surely, 2^{3459204144000} is an apocalyptic number.

3459204144000 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 3459204144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7635595968000).

3459204144000 is an abundant number, since it is smaller than the sum of its proper divisors (11811987792000).

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

3459204144000 is an equidigital number, since it uses as much as digits as its factorization.

3459204144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 3459204144000 in words is "three trillion, four hundred fifty-nine billion, two hundred four million, one hundred forty-four thousand".