34063099200 has 378 divisors, whose sum is σ = 131106989754. Its totient is φ = 8384163840.

The previous prime is 34063099193. The next prime is 34063099219. The reversal of 34063099200 is 299036043.

It is a happy number.

34063099200 is a `hidden beast` number, since 340 + 6 + 309 + 9 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 21949015104 + 12114084096 = 148152^2 + 110064^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2426602 + ... + 2440598.

Almost surely, 2^34063099200 is an apocalyptic number.

34063099200 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 34063099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65553494877).

34063099200 is an abundant number, since it is smaller than the sum of its proper divisors (97043890554).

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

34063099200 is a wasteful number, since it uses less digits than its factorization.

34063099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14051 (or 14020 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 34063099200 in words is "thirty-four billion, sixty-three million, ninety-nine thousand, two hundred".