34023104100 has 108 divisors (see below), whose sum is σ = 107298247056. Its totient is φ = 9017127360.

The previous prime is 34023104099. The next prime is 34023104119. The reversal of 34023104100 is 140132043.

34023104100 is a `hidden beast` number, since 340 + 2 + 310 + 4 + 10 + 0 = 666.

It is a super-2 number, since 2×34023104100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30739 + ... + 262661.

Almost surely, 2^34023104100 is an apocalyptic number.

34023104100 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 34023104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53649123528).

34023104100 is an abundant number, since it is smaller than the sum of its proper divisors (73275142956).

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

34023104100 is a wasteful number, since it uses less digits than its factorization.

34023104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232106 (or 232096 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 34023104100 its reverse (140132043), we get a palindrome (34163236143).

The spelling of 34023104100 in words is "thirty-four billion, twenty-three million, one hundred four thousand, one hundred".