34352554240000 has 240 divisors, whose sum is σ = 85873838450400. Its totient is φ = 13734475776000.

The previous prime is 34352554239953. The next prime is 34352554240003. The reversal of 34352554240000 is 4245525343.

It is not an unprimeable number, because it can be changed into a prime (34352554240003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3388154931 + ... + 3388165069.

It is an arithmetic number, because the mean of its divisors is an integer number (357807660210).

Almost surely, 2^{34352554240000} 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 34352554240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42936919225200).

34352554240000 is an abundant number, since it is smaller than the sum of its proper divisors (51521284210400).

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

34352554240000 is an equidigital number, since it uses as much as digits as its factorization.

34352554240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12828 (or 12793 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 37.

Adding to 34352554240000 its reverse (4245525343), we get a palindrome (34356799765343).

The spelling of 34352554240000 in words is "thirty-four trillion, three hundred fifty-two billion, five hundred fifty-four million, two hundred forty thousand".