34420321124 has 96 divisors (see below), whose sum is σ = 73507150080. Its totient is φ = 13766860800.

The previous prime is 34420321097. The next prime is 34420321139. The reversal of 34420321124 is 42112302443.

It is a junction number, because it is equal to n+sod(n) for n = 34420321093 and 34420321102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39069164 + ... + 39070044.

It is an arithmetic number, because the mean of its divisors is an integer number (765699480).

Almost surely, 2^34420321124 is an apocalyptic number.

34420321124 is a gapful number since it is divisible by the number (34) 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 34420321124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36753575040).

34420321124 is an abundant number, since it is smaller than the sum of its proper divisors (39086828956).

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

34420321124 is a wasteful number, since it uses less digits than its factorization.

34420321124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34420321124 its reverse (42112302443), we get a palindrome (76532623567).

The spelling of 34420321124 in words is "thirty-four billion, four hundred twenty million, three hundred twenty-one thousand, one hundred twenty-four".