34533450432 has 252 divisors, whose sum is σ = 110170569600. Its totient is φ = 10280770560.

The previous prime is 34533450407. The next prime is 34533450449. The reversal of 34533450432 is 23405433543.

34533450432 is a `hidden beast` number, since 34 + 533 + 4 + 50 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7193569 + ... + 7198367.

It is an arithmetic number, because the mean of its divisors is an integer number (437184800).

Almost surely, 2^34533450432 is an apocalyptic number.

34533450432 is a gapful number since it is divisible by the number (32) 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 34533450432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55085284800).

34533450432 is an abundant number, since it is smaller than the sum of its proper divisors (75637119168).

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

34533450432 is a wasteful number, since it uses less digits than its factorization.

34533450432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4892 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 34533450432 its reverse (23405433543), we get a palindrome (57938883975).

The spelling of 34533450432 in words is "thirty-four billion, five hundred thirty-three million, four hundred fifty thousand, four hundred thirty-two".