34353225440 has 96 divisors (see below), whose sum is σ = 82043992800. Its totient is φ = 13592320000.

The previous prime is 34353225437. The next prime is 34353225463. The reversal of 34353225440 is 4452235343.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34353225440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5980970 + ... + 5986710.

It is an arithmetic number, because the mean of its divisors is an integer number (854624925).

Almost surely, 2^34353225440 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 34353225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41021996400).

34353225440 is an abundant number, since it is smaller than the sum of its proper divisors (47690767360).

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

34353225440 is a wasteful number, since it uses less digits than its factorization.

34353225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6156 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 35.

The spelling of 34353225440 in words is "thirty-four billion, three hundred fifty-three million, two hundred twenty-five thousand, four hundred forty".