34240102368 has 192 divisors, whose sum is σ = 94155602688. Its totient is φ = 10885754880.

The previous prime is 34240102367. The next prime is 34240102433. The reversal of 34240102368 is 86320104243.

It is a super-2 number, since 2×34240102368² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34240102367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41402371 + ... + 41403197.

It is an arithmetic number, because the mean of its divisors is an integer number (490393764).

Almost surely, 2^34240102368 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 34240102368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47077801344).

34240102368 is an abundant number, since it is smaller than the sum of its proper divisors (59915500320).

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

34240102368 is a wasteful number, since it uses less digits than its factorization.

34240102368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 34240102368 in words is "thirty-four billion, two hundred forty million, one hundred two thousand, three hundred sixty-eight".