34012445440 has 144 divisors (see below), whose sum is σ = 83665743840. Its totient is φ = 13240074240.

The previous prime is 34012445359. The next prime is 34012445459. The reversal of 34012445440 is 4454421043.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38782282 + ... + 38783158.

It is an arithmetic number, because the mean of its divisors is an integer number (581012110).

Almost surely, 2^34012445440 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 34012445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41832871920).

34012445440 is an abundant number, since it is smaller than the sum of its proper divisors (49653298400).

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

34012445440 is an equidigital number, since it uses as much as digits as its factorization.

34012445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 34012445440 its reverse (4454421043), we get a palindrome (38466866483).

The spelling of 34012445440 in words is "thirty-four billion, twelve million, four hundred forty-five thousand, four hundred forty".