3433461346944 has 384 divisors, whose sum is σ = 10614435955200. Its totient is φ = 1092535640064.

The previous prime is 3433461346927. The next prime is 3433461346949. The reversal of 3433461346944 is 4496431643343.

3433461346944 is a `hidden beast` number, since 34 + 33 + 461 + 34 + 6 + 94 + 4 = 666.

3433461346944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3433461346949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084135249 + ... + 1084138415.

It is an arithmetic number, because the mean of its divisors is an integer number (27641760300).

Almost surely, 2^{3433461346944} 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 3433461346944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307217977600).

3433461346944 is an abundant number, since it is smaller than the sum of its proper divisors (7180974608256).

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

3433461346944 is a wasteful number, since it uses less digits than its factorization.

3433461346944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3788 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 54.

The spelling of 3433461346944 in words is "three trillion, four hundred thirty-three billion, four hundred sixty-one million, three hundred forty-six thousand, nine hundred forty-four".