34426425600 has 1080 divisors, whose sum is σ = 149047335360. Its totient is φ = 7677296640.

The previous prime is 34426425571. The next prime is 34426425617. The reversal of 34426425600 is 652462443.

34426425600 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 6 + 42 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 192326311 + ... + 192326489.

It is an arithmetic number, because the mean of its divisors is an integer number (138006792).

Almost surely, 2^34426425600 is an apocalyptic number.

34426425600 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 34426425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74523667680).

34426425600 is an abundant number, since it is smaller than the sum of its proper divisors (114620909760).

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

34426425600 is a wasteful number, since it uses less digits than its factorization.

34426425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 34426425600 in words is "thirty-four billion, four hundred twenty-six million, four hundred twenty-five thousand, six hundred".