434384663328 has 384 divisors, whose sum is σ = 1603172874240. Its totient is φ = 111142056960.

The previous prime is 434384663303. The next prime is 434384663359. The reversal of 434384663328 is 823366483434.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 4408650 + ... + 4506102.

It is an arithmetic number, because the mean of its divisors is an integer number (4174929360).

Almost surely, 2^434384663328 is an apocalyptic number.

434384663328 is a gapful number since it is divisible by the number (48) 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 434384663328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801586437120).

434384663328 is an abundant number, since it is smaller than the sum of its proper divisors (1168788210912).

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

434384663328 is a wasteful number, since it uses less digits than its factorization.

434384663328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97557 (or 97543 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 54.

The spelling of 434384663328 in words is "four hundred thirty-four billion, three hundred eighty-four million, six hundred sixty-three thousand, three hundred twenty-eight".