34513413024 has 96 divisors (see below), whose sum is σ = 93627588096. Its totient is φ = 11120578560.

The previous prime is 34513413019. The next prime is 34513413031. The reversal of 34513413024 is 42031431543.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×34513413024³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34513412982 and 34513413000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2782324 + ... + 2794700.

It is an arithmetic number, because the mean of its divisors is an integer number (975287376).

Almost surely, 2^34513413024 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 34513413024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46813794048).

34513413024 is an abundant number, since it is smaller than the sum of its proper divisors (59114175072).

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

34513413024 is a wasteful number, since it uses less digits than its factorization.

34513413024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13358 (or 13350 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 34513413024 its reverse (42031431543), we get a palindrome (76544844567).

The spelling of 34513413024 in words is "thirty-four billion, five hundred thirteen million, four hundred thirteen thousand, twenty-four".