34294558211920 has 20 divisors (see below), whose sum is σ = 79734847842900. Its totient is φ = 13717823284736.

The previous prime is 34294558211911. The next prime is 34294558211923. The reversal of 34294558211920 is 2911285549243.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5150194515216 + 29144363696704 = 2269404^2 + 5398552^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×34294558211920² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34294558211923) 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, 214340988745 + ... + 214340988904.

It is an arithmetic number, because the mean of its divisors is an integer number (3986742392145).

Almost surely, 2^{34294558211920} is an apocalyptic number.

It is an amenable number.

34294558211920 is an abundant number, since it is smaller than the sum of its proper divisors (45440289630980).

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

34294558211920 is a wasteful number, since it uses less digits than its factorization.

34294558211920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428681977662 (or 428681977656 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 34294558211920 in words is "thirty-four trillion, two hundred ninety-four billion, five hundred fifty-eight million, two hundred eleven thousand, nine hundred twenty".