3457834334320 has 20 divisors (see below), whose sum is σ = 8039464827480. Its totient is φ = 1383133733696.

The previous prime is 3457834334233. The next prime is 3457834334321. The reversal of 3457834334320 is 234334387543.

3457834334320 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3457834334321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21611464510 + ... + 21611464669.

It is an arithmetic number, because the mean of its divisors is an integer number (401973241374).

Almost surely, 2^{3457834334320} is an apocalyptic number.

It is an amenable number.

3457834334320 is an abundant number, since it is smaller than the sum of its proper divisors (4581630493160).

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

3457834334320 is a wasteful number, since it uses less digits than its factorization.

3457834334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43222929192 (or 43222929186 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 49.

The spelling of 3457834334320 in words is "three trillion, four hundred fifty-seven billion, eight hundred thirty-four million, three hundred thirty-four thousand, three hundred twenty".