34424511552 has 168 divisors, whose sum is σ = 101056415616. Its totient is φ = 11198905344.

The previous prime is 34424511551. The next prime is 34424511571. The reversal of 34424511552 is 25511542443.

34424511552 is a `hidden beast` number, since 34 + 4 + 24 + 51 + 1 + 552 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34424511551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10745983 + ... + 10749185.

Almost surely, 2^34424511552 is an apocalyptic number.

34424511552 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 34424511552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50528207808).

34424511552 is an abundant number, since it is smaller than the sum of its proper divisors (66631904064).

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

34424511552 is a wasteful number, since it uses less digits than its factorization.

34424511552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665 (or 3652 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The spelling of 34424511552 in words is "thirty-four billion, four hundred twenty-four million, five hundred eleven thousand, five hundred fifty-two".