34344354420 has 144 divisors (see below), whose sum is σ = 105507314640. Its totient is φ = 9042259968.

The previous prime is 34344354409. The next prime is 34344354461. The reversal of 34344354420 is 2445344343.

It can be written as a sum of positive squares in 8 ways, for example, as 3888520164 + 30455834256 = 62358^2 + 174516^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5468322 + ... + 5474598.

It is an arithmetic number, because the mean of its divisors is an integer number (732689685).

Almost surely, 2^34344354420 is an apocalyptic number.

34344354420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34344354420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52753657320).

34344354420 is an abundant number, since it is smaller than the sum of its proper divisors (71162960220).

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

34344354420 is a wasteful number, since it uses less digits than its factorization.

34344354420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6674 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 36.

Adding to 34344354420 its reverse (2445344343), we get a palindrome (36789698763).

The spelling of 34344354420 in words is "thirty-four billion, three hundred forty-four million, three hundred fifty-four thousand, four hundred twenty".