34122379200 has 672 divisors, whose sum is σ = 138844446720. Its totient is φ = 7144243200.

The previous prime is 34122379199. The next prime is 34122379201. The reversal of 34122379200 is 297322143.

It is an interprime number because it is at equal distance from previous prime (34122379199) and next prime (34122379201).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34122379201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83428596 + ... + 83429004.

It is an arithmetic number, because the mean of its divisors is an integer number (206613760).

Almost surely, 2^34122379200 is an apocalyptic number.

34122379200 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 34122379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69422223360).

34122379200 is an abundant number, since it is smaller than the sum of its proper divisors (104722067520).

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

34122379200 is a wasteful number, since it uses less digits than its factorization.

34122379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 34122379200 in words is "thirty-four billion, one hundred twenty-two million, three hundred seventy-nine thousand, two hundred".