34245202254560 has 384 divisors, whose sum is σ = 91080927995904. Its totient is φ = 12058053672960.

The previous prime is 34245202254539. The next prime is 34245202254623. The reversal of 34245202254560 is 6545220254243.

It is a super-3 number, since 3×34245202254560³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 22050998744 + ... + 22051000296.

It is an arithmetic number, because the mean of its divisors is an integer number (237189916656).

Almost surely, 2^{34245202254560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34245202254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45540463997952).

34245202254560 is an abundant number, since it is smaller than the sum of its proper divisors (56835725741344).

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

34245202254560 is a wasteful number, since it uses less digits than its factorization.

34245202254560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 44.

The spelling of 34245202254560 in words is "thirty-four trillion, two hundred forty-five billion, two hundred two million, two hundred fifty-four thousand, five hundred sixty".