34423040000 has 120 divisors (see below), whose sum is σ = 86012256330. Its totient is φ = 13768704000.

The previous prime is 34423039969. The next prime is 34423040011. The reversal of 34423040000 is 4032443.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 5014905856 + 29408134144 = 70816^2 + 171488^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 9 ways as a sum of consecutive naturals, for example, 1266554 + ... + 1293446.

Almost surely, 2^34423040000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34423040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43006128165).

34423040000 is an abundant number, since it is smaller than the sum of its proper divisors (51589216330).

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

34423040000 is an frugal number, since it uses more digits than its factorization.

34423040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26935 (or 26900 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 34423040000 its reverse (4032443), we get a palindrome (34427072443).

The spelling of 34423040000 in words is "thirty-four billion, four hundred twenty-three million, forty thousand".