34041213100 has 72 divisors (see below), whose sum is σ = 78263772048. Its totient is φ = 12807475200.

The previous prime is 34041213023. The next prime is 34041213103. The reversal of 34041213100 is 131214043.

It is a super-2 number, since 2×34041213100² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34041213103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3178755 + ... + 3189445.

It is an arithmetic number, because the mean of its divisors is an integer number (1086996834).

Almost surely, 2^34041213100 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 34041213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39131886024).

34041213100 is an abundant number, since it is smaller than the sum of its proper divisors (44222558948).

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

34041213100 is a wasteful number, since it uses less digits than its factorization.

34041213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12595 (or 12588 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 34041213100 its reverse (131214043), we get a palindrome (34172427143).

The spelling of 34041213100 in words is "thirty-four billion, forty-one million, two hundred thirteen thousand, one hundred".