34334672512 has 128 divisors (see below), whose sum is σ = 79230695040. Its totient is φ = 14516748288.

The previous prime is 34334672503. The next prime is 34334672597. The reversal of 34334672512 is 21527643343.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51017008 + ... + 51017680.

It is an arithmetic number, because the mean of its divisors is an integer number (618989805).

Almost surely, 2^34334672512 is an apocalyptic number.

34334672512 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 34334672512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39615347520).

34334672512 is an abundant number, since it is smaller than the sum of its proper divisors (44896022528).

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

34334672512 is an equidigital number, since it uses as much as digits as its factorization.

34334672512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1366 counting only the distinct ones).

The product of its digits is 362880, while the sum is 40.

The spelling of 34334672512 in words is "thirty-four billion, three hundred thirty-four million, six hundred seventy-two thousand, five hundred twelve".