34446352140500 has 192 divisors, whose sum is σ = 76600847232000. Its totient is φ = 13530005913600.

The previous prime is 34446352140479. The next prime is 34446352140509. The reversal of 34446352140500 is 504125364443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34446352140509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5556756401 + ... + 5556762599.

It is an arithmetic number, because the mean of its divisors is an integer number (398962746000).

Almost surely, 2^{34446352140500} 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 34446352140500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38300423616000).

34446352140500 is an abundant number, since it is smaller than the sum of its proper divisors (42154495091500).

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

34446352140500 is a wasteful number, since it uses less digits than its factorization.

34446352140500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7147 (or 7135 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

The spelling of 34446352140500 in words is "thirty-four trillion, four hundred forty-six billion, three hundred fifty-two million, one hundred forty thousand, five hundred".