34042333320100 has 324 divisors, whose sum is σ = 93752392143424. Its totient is φ = 10507443471360.

The previous prime is 34042333320043. The next prime is 34042333320101. The reversal of 34042333320100 is 102333324043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (34042333320101) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 106857649 + ... + 107175751.

Almost surely, 2^{34042333320100} 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 34042333320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46876196071712).

34042333320100 is an abundant number, since it is smaller than the sum of its proper divisors (59710058823324).

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

34042333320100 is a wasteful number, since it uses less digits than its factorization.

34042333320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318204 (or 318157 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 34042333320100 its reverse (102333324043), we get a palindrome (34144666644143).

The spelling of 34042333320100 in words is "thirty-four trillion, forty-two billion, three hundred thirty-three million, three hundred twenty thousand, one hundred".