34403346720 has 144 divisors (see below), whose sum is σ = 117705140280. Its totient is φ = 9150492672.

The previous prime is 34403346713. The next prime is 34403346773. The reversal of 34403346720 is 2764330443.

It can be written as a sum of positive squares in 4 ways, for example, as 20224252944 + 14179093776 = 142212^2 + 119076^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529452 + ... + 590868.

Almost surely, 2^34403346720 is an apocalyptic number.

34403346720 is a gapful number since it is divisible by the number (30) 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 34403346720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58852570140).

34403346720 is an abundant number, since it is smaller than the sum of its proper divisors (83301793560).

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

34403346720 is a wasteful number, since it uses less digits than its factorization.

34403346720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61827 (or 61816 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 34403346720 in words is "thirty-four billion, four hundred three million, three hundred forty-six thousand, seven hundred twenty".