328434151680 has 144 divisors (see below), whose sum is σ = 1165485202560. Its totient is φ = 87582431232.

The previous prime is 328434151649. The next prime is 328434151687. The reversal of 328434151680 is 86151434823.

328434151680 is a `hidden beast` number, since 3 + 2 + 8 + 434 + 151 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×328434151680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (328434151687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4717092 + ... + 4786211.

It is an arithmetic number, because the mean of its divisors is an integer number (8093647240).

Almost surely, 2^328434151680 is an apocalyptic number.

328434151680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328434151680 is an abundant number, since it is smaller than the sum of its proper divisors (837051050880).

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

328434151680 is an equidigital number, since it uses as much as digits as its factorization.

328434151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9503333 (or 9503313 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 328434151680 in words is "three hundred twenty-eight billion, four hundred thirty-four million, one hundred fifty-one thousand, six hundred eighty".