34032023040 has 160 divisors (see below), whose sum is σ = 109116453600. Its totient is φ = 9048489984.

The previous prime is 34032023029. The next prime is 34032023089. The reversal of 34032023040 is 4032023043.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 34032022998 and 34032023016.

It is a congruent number.

It is an unprimeable number.

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, 2673972 + ... + 2686668.

It is an arithmetic number, because the mean of its divisors is an integer number (681977835).

Almost surely, 2^34032023040 is an apocalyptic number.

34032023040 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 34032023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54558226800).

34032023040 is an abundant number, since it is smaller than the sum of its proper divisors (75084430560).

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

34032023040 is a wasteful number, since it uses less digits than its factorization.

34032023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13072 (or 13056 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 34032023040 its reverse (4032023043), we get a palindrome (38064046083).

The spelling of 34032023040 in words is "thirty-four billion, thirty-two million, twenty-three thousand, forty".