34423335510520 has 384 divisors, whose sum is σ = 87724108080000. Its totient is φ = 12143831040000.

The previous prime is 34423335510503. The next prime is 34423335510539. The reversal of 34423335510520 is 2501553332443.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6257647770 + ... + 6257653270.

It is an arithmetic number, because the mean of its divisors is an integer number (228448198125).

Almost surely, 2^{34423335510520} 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 34423335510520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43862054040000).

34423335510520 is an abundant number, since it is smaller than the sum of its proper divisors (53300772569480).

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

34423335510520 is a wasteful number, since it uses less digits than its factorization.

34423335510520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5895 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 40.

Adding to 34423335510520 its reverse (2501553332443), we get a palindrome (36924888842963).

The spelling of 34423335510520 in words is "thirty-four trillion, four hundred twenty-three billion, three hundred thirty-five million, five hundred ten thousand, five hundred twenty".