34532648352 has 336 divisors, whose sum is σ = 113633876160. Its totient is φ = 10261334016.

The previous prime is 34532648351. The next prime is 34532648383. The reversal of 34532648352 is 25384623543.

34532648352 is a `hidden beast` number, since 3 + 4 + 532 + 64 + 8 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34532648298 and 34532648307.

It is not an unprimeable number, because it can be changed into a prime (34532648351) 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 55 ways as a sum of consecutive naturals, for example, 7532653 + ... + 7537235.

It is an arithmetic number, because the mean of its divisors is an integer number (338196060).

Almost surely, 2^34532648352 is an apocalyptic number.

34532648352 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 34532648352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56816938080).

34532648352 is an abundant number, since it is smaller than the sum of its proper divisors (79101227808).

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

34532648352 is a wasteful number, since it uses less digits than its factorization.

34532648352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4647 (or 4624 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 34532648352 in words is "thirty-four billion, five hundred thirty-two million, six hundred forty-eight thousand, three hundred fifty-two".