34042983100 has 144 divisors (see below), whose sum is σ = 88775318016. Its totient is φ = 11078496000.

The previous prime is 34042983071. The next prime is 34042983167. The reversal of 34042983100 is 138924043.

It is a super-2 number, since 2×34042983100² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2101030 + ... + 2117170.

It is an arithmetic number, because the mean of its divisors is an integer number (616495264).

Almost surely, 2^34042983100 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 34042983100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44387659008).

34042983100 is an abundant number, since it is smaller than the sum of its proper divisors (54732334916).

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

34042983100 is a wasteful number, since it uses less digits than its factorization.

34042983100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16316 (or 16309 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 34042983100 in words is "thirty-four billion, forty-two million, nine hundred eighty-three thousand, one hundred".