34320410124 has 768 divisors, whose sum is σ = 118611247104. Its totient is φ = 7440076800.

The previous prime is 34320410119. The next prime is 34320410143. The reversal of 34320410124 is 42101402343.

34320410124 is a modest number, since divided by 410124 gives 3432 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 34320410094 and 34320410103.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 647554882 + ... + 647554934.

It is an arithmetic number, because the mean of its divisors is an integer number (154441728).

Almost surely, 2^34320410124 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 34320410124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59305623552).

34320410124 is an abundant number, since it is smaller than the sum of its proper divisors (84290836980).

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

34320410124 is a wasteful number, since it uses less digits than its factorization.

34320410124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34320410124 its reverse (42101402343), we get a palindrome (76421812467).

It can be divided in two parts, 34320 and 410124, that added together give a palindrome (444444).

The spelling of 34320410124 in words is "thirty-four billion, three hundred twenty million, four hundred ten thousand, one hundred twenty-four".