34003240443240 has 256 divisors, whose sum is σ = 105114294604800. Its totient is φ = 8795320774656.

The previous prime is 34003240443173. The next prime is 34003240443251. The reversal of 34003240443240 is 4234404230043.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344402362 + ... + 344501078.

It is an arithmetic number, because the mean of its divisors is an integer number (410602713300).

Almost surely, 2^{34003240443240} is an apocalyptic number.

34003240443240 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 34003240443240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52557147302400).

34003240443240 is an abundant number, since it is smaller than the sum of its proper divisors (71111054161560).

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

34003240443240 is a wasteful number, since it uses less digits than its factorization.

34003240443240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99324 (or 99320 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 34003240443240 its reverse (4234404230043), we get a palindrome (38237644673283).

The spelling of 34003240443240 in words is "thirty-four trillion, three billion, two hundred forty million, four hundred forty-three thousand, two hundred forty".