34930425600 has 648 divisors, whose sum is σ = 146275033632. Its totient is φ = 7785676800.

The previous prime is 34930425599. The next prime is 34930425653. The reversal of 34930425600 is 652403943.

34930425600 is a `hidden beast` number, since 3 + 4 + 9 + 3 + 0 + 42 + 5 + 600 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16530144 + ... + 16532256.

Almost surely, 2^34930425600 is an apocalyptic number.

34930425600 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 34930425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73137516816).

34930425600 is an abundant number, since it is smaller than the sum of its proper divisors (111344608032).

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

34930425600 is a wasteful number, since it uses less digits than its factorization.

34930425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 34930425600 in words is "thirty-four billion, nine hundred thirty million, four hundred twenty-five thousand, six hundred".