34164542880 has 480 divisors, whose sum is σ = 130627728000. Its totient is φ = 8359262208.

The previous prime is 34164542767. The next prime is 34164542887. The reversal of 34164542880 is 8824546143.

34164542880 is a `hidden beast` number, since 3 + 41 + 64 + 542 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34164542887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33527011 + ... + 33528029.

It is an arithmetic number, because the mean of its divisors is an integer number (272141100).

Almost surely, 2^34164542880 is an apocalyptic number.

34164542880 is a gapful number since it is divisible by the number (30) 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 34164542880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65313864000).

34164542880 is an abundant number, since it is smaller than the sum of its proper divisors (96463185120).

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

34164542880 is a wasteful number, since it uses less digits than its factorization.

34164542880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 34164542880 in words is "thirty-four billion, one hundred sixty-four million, five hundred forty-two thousand, eight hundred eighty".