34011310272 has 112 divisors (see below), whose sum is σ = 92196099072. Its totient is φ = 11059614720.

The previous prime is 34011310247. The next prime is 34011310279. The reversal of 34011310272 is 27201311043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34011310279) 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 15 ways as a sum of consecutive naturals, for example, 8179618 + ... + 8183774.

It is an arithmetic number, because the mean of its divisors is an integer number (823179456).

Almost surely, 2^34011310272 is an apocalyptic number.

34011310272 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 34011310272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46098049536).

34011310272 is an abundant number, since it is smaller than the sum of its proper divisors (58184788800).

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

34011310272 is a wasteful number, since it uses less digits than its factorization.

34011310272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 34011310272 in words is "thirty-four billion, eleven million, three hundred ten thousand, two hundred seventy-two".