34225005993696 has 288 divisors, whose sum is σ = 118390927269888. Its totient is φ = 9155176058880.

The previous prime is 34225005993691. The next prime is 34225005993817. The reversal of 34225005993696 is 69639950052243.

34225005993696 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 5 + 0 + 0 + 599 + 36 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34225005993691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3931741 + ... + 9160163.

It is an arithmetic number, because the mean of its divisors is an integer number (411079608576).

Almost surely, 2^{34225005993696} is an apocalyptic number.

34225005993696 is a gapful number since it is divisible by the number (36) 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 34225005993696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59195463634944).

34225005993696 is an abundant number, since it is smaller than the sum of its proper divisors (84165921276192).

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

34225005993696 is a wasteful number, since it uses less digits than its factorization.

34225005993696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5228654 (or 5228643 counting only the distinct ones).

The product of its (nonzero) digits is 94478400, while the sum is 63.

The spelling of 34225005993696 in words is "thirty-four trillion, two hundred twenty-five billion, five million, nine hundred ninety-three thousand, six hundred ninety-six".