34050020576 has 96 divisors (see below), whose sum is σ = 78931280736. Its totient is φ = 14254848000.

The previous prime is 34050020573. The next prime is 34050020629. The reversal of 34050020576 is 67502005043.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34050020573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2101466 + ... + 2117606.

It is an arithmetic number, because the mean of its divisors is an integer number (822200841).

Almost surely, 2^34050020576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34050020576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39465640368).

34050020576 is an abundant number, since it is smaller than the sum of its proper divisors (44881260160).

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

34050020576 is a wasteful number, since it uses less digits than its factorization.

34050020576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16636 (or 16628 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The spelling of 34050020576 in words is "thirty-four billion, fifty million, twenty thousand, five hundred seventy-six".