34440865536 has 288 divisors, whose sum is σ = 115370293248. Its totient is φ = 8860446720.

The previous prime is 34440865507. The next prime is 34440865559. The reversal of 34440865536 is 63556804443.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6324831 + ... + 6330273.

It is an arithmetic number, because the mean of its divisors is an integer number (400591296).

Almost surely, 2^34440865536 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 34440865536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57685146624).

34440865536 is an abundant number, since it is smaller than the sum of its proper divisors (80929427712).

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

34440865536 is a wasteful number, since it uses less digits than its factorization.

34440865536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5587 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 34440865536 in words is "thirty-four billion, four hundred forty million, eight hundred sixty-five thousand, five hundred thirty-six".