34344697131264 has 576 divisors, whose sum is σ = 102214153375488. Its totient is φ = 10171986739200.

The previous prime is 34344697131247. The next prime is 34344697131281. The reversal of 34344697131264 is 46213179644343.

It is an interprime number because it is at equal distance from previous prime (34344697131247) and next prime (34344697131281).

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, 5824093564 + ... + 5824099460.

It is an arithmetic number, because the mean of its divisors is an integer number (177455127388).

Almost surely, 2^{34344697131264} 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 34344697131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51107076687744).

34344697131264 is an abundant number, since it is smaller than the sum of its proper divisors (67869456244224).

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

34344697131264 is a wasteful number, since it uses less digits than its factorization.

34344697131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6194 (or 6180 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 57.

The spelling of 34344697131264 in words is "thirty-four trillion, three hundred forty-four billion, six hundred ninety-seven million, one hundred thirty-one thousand, two hundred sixty-four".