34491220545600 has 6048 divisors, whose sum is σ = 169183651553280. Its totient is φ = 6754295808000.

The previous prime is 34491220545581. The next prime is 34491220545611. The reversal of 34491220545600 is 654502219443.

34491220545600 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 12 + 20 + 5 + 4 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 584596958371 + ... + 584596958429.

It is an arithmetic number, because the mean of its divisors is an integer number (27973487360).

Almost surely, 2^{34491220545600} is an apocalyptic number.

34491220545600 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 34491220545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84591825776640).

34491220545600 is an abundant number, since it is smaller than the sum of its proper divisors (134692431007680).

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

34491220545600 is a wasteful number, since it uses less digits than its factorization.

34491220545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 34491220545600 in words is "thirty-four trillion, four hundred ninety-one billion, two hundred twenty million, five hundred forty-five thousand, six hundred".