34309969101000 has 768 divisors, whose sum is σ = 122057694720000. Its totient is φ = 8675984486400.

The previous prime is 34309969100963. The next prime is 34309969101013. The reversal of 34309969101000 is 10196990343.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 26617508356 + ... + 26617509644.

It is an arithmetic number, because the mean of its divisors is an integer number (158929290000).

Almost surely, 2^{34309969101000} is an apocalyptic number.

34309969101000 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 34309969101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61028847360000).

34309969101000 is an abundant number, since it is smaller than the sum of its proper divisors (87747725619000).

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

34309969101000 is a wasteful number, since it uses less digits than its factorization.

34309969101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 34309969101000 in words is "thirty-four trillion, three hundred nine billion, nine hundred sixty-nine million, one hundred one thousand".