434734340352 has 288 divisors, whose sum is σ = 1347420759552. Its totient is φ = 123215020032.

The previous prime is 434734340351. The next prime is 434734340363. The reversal of 434734340352 is 253043437434.

It is a super-3 number, since 3×434734340352³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (434734340351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7949968 + ... + 8004464.

It is an arithmetic number, because the mean of its divisors is an integer number (4678544304).

Almost surely, 2^434734340352 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 434734340352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673710379776).

434734340352 is an abundant number, since it is smaller than the sum of its proper divisors (912686419200).

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

434734340352 is a wasteful number, since it uses less digits than its factorization.

434734340352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54593 (or 54579 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 42.

Adding to 434734340352 its reverse (253043437434), we get a palindrome (687777777786).

The spelling of 434734340352 in words is "four hundred thirty-four billion, seven hundred thirty-four million, three hundred forty thousand, three hundred fifty-two".