34411141320 has 128 divisors (see below), whose sum is σ = 107063856000. Its totient is φ = 8837427200.

The previous prime is 34411141309. The next prime is 34411141333. The reversal of 34411141320 is 2314111443.

It is a super-2 number, since 2×34411141320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1383151 + ... + 1407809.

It is an arithmetic number, because the mean of its divisors is an integer number (836436375).

Almost surely, 2^34411141320 is an apocalyptic number.

34411141320 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 34411141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53531928000).

34411141320 is an abundant number, since it is smaller than the sum of its proper divisors (72652714680).

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

34411141320 is a wasteful number, since it uses less digits than its factorization.

34411141320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25103 (or 25099 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 34411141320 its reverse (2314111443), we get a palindrome (36725252763).

The spelling of 34411141320 in words is "thirty-four billion, four hundred eleven million, one hundred forty-one thousand, three hundred twenty".