34138603264 has 72 divisors (see below), whose sum is σ = 71546826960. Its totient is φ = 16234487808.

The previous prime is 34138603243. The next prime is 34138603327. The reversal of 34138603264 is 46230683143.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463092 + ... + 531724.

It is an arithmetic number, because the mean of its divisors is an integer number (993705930).

Almost surely, 2^34138603264 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 34138603264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35773413480).

34138603264 is an abundant number, since it is smaller than the sum of its proper divisors (37408223696).

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

34138603264 is an equidigital number, since it uses as much as digits as its factorization.

34138603264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68745 (or 68731 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 34138603264 in words is "thirty-four billion, one hundred thirty-eight million, six hundred three thousand, two hundred sixty-four".