34426404160 has 84 divisors (see below), whose sum is σ = 82424249172. Its totient is φ = 13695778816.

The previous prime is 34426404119. The next prime is 34426404161. The reversal of 34426404160 is 6140462443.

It can be written as a sum of positive squares in 2 ways, for example, as 25746127936 + 8680276224 = 160456^2 + 93168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34426404161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53208957 + ... + 53209603.

Almost surely, 2^34426404160 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 34426404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41212124586).

34426404160 is an abundant number, since it is smaller than the sum of its proper divisors (47997845012).

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

34426404160 is an frugal number, since it uses more digits than its factorization.

34426404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 34426404160 in words is "thirty-four billion, four hundred twenty-six million, four hundred four thousand, one hundred sixty".