34245204255240 has 256 divisors, whose sum is σ = 118680151173120. Its totient is φ = 7812714147840.

The previous prime is 34245204255217. The next prime is 34245204255329. The reversal of 34245204255240 is 4255240254243.

It is a super-3 number, since 3×34245204255240³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34245204255192 and 34245204255201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 232023147 + ... + 232170693.

It is an arithmetic number, because the mean of its divisors is an integer number (463594340520).

Almost surely, 2^{34245204255240} is an apocalyptic number.

34245204255240 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 34245204255240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59340075586560).

34245204255240 is an abundant number, since it is smaller than the sum of its proper divisors (84434946917880).

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

34245204255240 is a wasteful number, since it uses less digits than its factorization.

34245204255240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157932 (or 157928 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 42.

The spelling of 34245204255240 in words is "thirty-four trillion, two hundred forty-five billion, two hundred four million, two hundred fifty-five thousand, two hundred forty".