34245066240 has 960 divisors, whose sum is σ = 150140390400. Its totient is φ = 7007109120.

The previous prime is 34245066221. The next prime is 34245066293. The reversal of 34245066240 is 4266054243.

34245066240 is a `hidden beast` number, since 3 + 4 + 24 + 5 + 0 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34245066195 and 34245066204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172085661 + ... + 172085859.

It is an arithmetic number, because the mean of its divisors is an integer number (156396240).

Almost surely, 2^34245066240 is an apocalyptic number.

34245066240 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 34245066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75070195200).

34245066240 is an abundant number, since it is smaller than the sum of its proper divisors (115895324160).

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

34245066240 is a wasteful number, since it uses less digits than its factorization.

34245066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 324 counting only the distinct ones).

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

The spelling of 34245066240 in words is "thirty-four billion, two hundred forty-five million, sixty-six thousand, two hundred forty".