34554534432 has 384 divisors, whose sum is σ = 105450605568. Its totient is φ = 9812275200.

The previous prime is 34554534367. The next prime is 34554534439. The reversal of 34554534432 is 23443545543.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (1728000) is a multiple of the sum of its prime divisors (384).

It is not an unprimeable number, because it can be changed into a prime (34554534439) 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 63 ways as a sum of consecutive naturals, for example, 220092498 + ... + 220092654.

It is an arithmetic number, because the mean of its divisors is an integer number (274610952).

Almost surely, 2^34554534432 is an apocalyptic number.

34554534432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is a pronic number, being equal to 185888×185889.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34554534432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52725302784).

34554534432 is an abundant number, since it is smaller than the sum of its proper divisors (70896071136).

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

34554534432 is a wasteful number, since it uses less digits than its factorization.

34554534432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 42.

The spelling of 34554534432 in words is "thirty-four billion, five hundred fifty-four million, five hundred thirty-four thousand, four hundred thirty-two".