34016416032 has 48 divisors (see below), whose sum is σ = 89541910080. Its totient is φ = 11307209472.

The previous prime is 34016416009. The next prime is 34016416073. The reversal of 34016416032 is 23061461043.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 459043 + ... + 527970.

It is an arithmetic number, because the mean of its divisors is an integer number (1865456460).

Almost surely, 2^34016416032 is an apocalyptic number.

34016416032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34016416032 is an abundant number, since it is smaller than the sum of its proper divisors (55525494048).

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

34016416032 is a wasteful number, since it uses less digits than its factorization.

34016416032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987385 (or 987377 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 34016416032 its reverse (23061461043), we get a palindrome (57077877075).

The spelling of 34016416032 in words is "thirty-four billion, sixteen million, four hundred sixteen thousand, thirty-two".