34430010524 has 72 divisors (see below), whose sum is σ = 75618397008. Its totient is φ = 13595904000.

The previous prime is 34430010521. The next prime is 34430010551. The reversal of 34430010524 is 42501003443.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 34430010493 and 34430010502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34430010521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1422524 + ... + 1446524.

It is an arithmetic number, because the mean of its divisors is an integer number (1050255514).

Almost surely, 2^34430010524 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 34430010524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37809198504).

34430010524 is an abundant number, since it is smaller than the sum of its proper divisors (41188386484).

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

34430010524 is a wasteful number, since it uses less digits than its factorization.

34430010524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24595 (or 24586 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 34430010524 its reverse (42501003443), we get a palindrome (76931013967).

The spelling of 34430010524 in words is "thirty-four billion, four hundred thirty million, ten thousand, five hundred twenty-four".