3434318782944 has 48 divisors (see below), whose sum is σ = 10302956350848. Its totient is φ = 981233937792.

The previous prime is 3434318782943. The next prime is 3434318782991. The reversal of 3434318782944 is 4492878134343.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434318782943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2555296042 + ... + 2555297385.

It is an arithmetic number, because the mean of its divisors is an integer number (214644923976).

Almost surely, 2^{3434318782944} is an apocalyptic number.

It is an amenable number.

3434318782944 is an abundant number, since it is smaller than the sum of its proper divisors (6868637567904).

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

3434318782944 is a wasteful number, since it uses less digits than its factorization.

3434318782944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110593447 (or 5110593439 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 60.

The spelling of 3434318782944 in words is "three trillion, four hundred thirty-four billion, three hundred eighteen million, seven hundred eighty-two thousand, nine hundred forty-four".