34729225200 has 960 divisors, whose sum is σ = 138096161280. Its totient is φ = 8252375040.

The previous prime is 34729225163. The next prime is 34729225231. The reversal of 34729225200 is 252292743.

34729225200 is a `hidden beast` number, since 3 + 47 + 2 + 92 + 2 + 520 + 0 = 666.

It is a super-2 number, since 2×34729225200² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 418424359 + ... + 418424441.

It is an arithmetic number, because the mean of its divisors is an integer number (143850168).

Almost surely, 2^34729225200 is an apocalyptic number.

34729225200 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 34729225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69048080640).

34729225200 is an abundant number, since it is smaller than the sum of its proper divisors (103366936080).

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

34729225200 is a wasteful number, since it uses less digits than its factorization.

34729225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 34729225200 in words is "thirty-four billion, seven hundred twenty-nine million, two hundred twenty-five thousand, two hundred".