434785876320 has 96 divisors (see below), whose sum is σ = 1372299086592. Its totient is φ = 115712333312.

The previous prime is 434785876309. The next prime is 434785876321. The reversal of 434785876320 is 23678587434.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434785876321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 658962 + ... + 1141841.

It is an arithmetic number, because the mean of its divisors is an integer number (14294782152).

Almost surely, 2^434785876320 is an apocalyptic number.

434785876320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434785876320 is an abundant number, since it is smaller than the sum of its proper divisors (937513210272).

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

434785876320 is a wasteful number, since it uses less digits than its factorization.

434785876320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801324 (or 1801316 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 57.

The spelling of 434785876320 in words is "four hundred thirty-four billion, seven hundred eighty-five million, eight hundred seventy-six thousand, three hundred twenty".