434250346752 has 1008 divisors, whose sum is σ = 1463777078400. Its totient is φ = 127919554560.

The previous prime is 434250346729. The next prime is 434250346769. The reversal of 434250346752 is 257643052434.

434250346752 is a `hidden beast` number, since 4 + 3 + 4 + 250 + 346 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 434250346698 and 434250346707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4216022733 + ... + 4216022835.

It is an arithmetic number, because the mean of its divisors is an integer number (1452159800).

Almost surely, 2^434250346752 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 434250346752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731888539200).

434250346752 is an abundant number, since it is smaller than the sum of its proper divisors (1029526731648).

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

434250346752 is a wasteful number, since it uses less digits than its factorization.

434250346752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 434250346752 in words is "four hundred thirty-four billion, two hundred fifty million, three hundred forty-six thousand, seven hundred fifty-two".