34303353440 has 192 divisors, whose sum is σ = 86945322240. Its totient is φ = 12744622080.

The previous prime is 34303353391. The next prime is 34303353451. The reversal of 34303353440 is 4435330343.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 34303353397 and 34303353406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126580505 + ... + 126580775.

It is an arithmetic number, because the mean of its divisors is an integer number (452840220).

Almost surely, 2^34303353440 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 34303353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43472661120).

34303353440 is an abundant number, since it is smaller than the sum of its proper divisors (52641968800).

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

34303353440 is a wasteful number, since it uses less digits than its factorization.

34303353440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 32.

Adding to 34303353440 its reverse (4435330343), we get a palindrome (38738683783).

The spelling of 34303353440 in words is "thirty-four billion, three hundred three million, three hundred fifty-three thousand, four hundred forty".