34227012816 has 120 divisors (see below), whose sum is σ = 100171356480. Its totient is φ = 10889100288.

The previous prime is 34227012791. The next prime is 34227012823. The reversal of 34227012816 is 61821072243.

It is a happy number.

It is a super-4 number, since 4×34227012816⁴ (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1535640 + ... + 1557768.

It is an arithmetic number, because the mean of its divisors is an integer number (834761304).

Almost surely, 2^34227012816 is an apocalyptic number.

34227012816 is a gapful number since it is divisible by the number (36) 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 34227012816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50085678240).

34227012816 is an abundant number, since it is smaller than the sum of its proper divisors (65944343664).

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

34227012816 is a wasteful number, since it uses less digits than its factorization.

34227012816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22633 (or 22624 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 34227012816 in words is "thirty-four billion, two hundred twenty-seven million, twelve thousand, eight hundred sixteen".