34123015800 has 480 divisors, whose sum is σ = 126933840000. Its totient is φ = 8469930240.

The previous prime is 34123015799. The next prime is 34123015807. The reversal of 34123015800 is 851032143.

It is a happy number.

34123015800 is a `hidden beast` number, since 341 + 230 + 15 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34123015807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18159261 + ... + 18161139.

It is an arithmetic number, because the mean of its divisors is an integer number (264445500).

Almost surely, 2^34123015800 is an apocalyptic number.

34123015800 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 34123015800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63466920000).

34123015800 is an abundant number, since it is smaller than the sum of its proper divisors (92810824200).

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

34123015800 is a wasteful number, since it uses less digits than its factorization.

34123015800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 34123015800 its reverse (851032143), we get a palindrome (34974047943).

The spelling of 34123015800 in words is "thirty-four billion, one hundred twenty-three million, fifteen thousand, eight hundred".