328035080601600 has 912 divisors, whose sum is σ = 1125097823225856. Its totient is φ = 84245741568000.

The previous prime is 328035080601581. The next prime is 328035080601659. The reversal of 328035080601600 is 6106080530823.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138353048415 + ... + 138353050785.

It is an arithmetic number, because the mean of its divisors is an integer number (1233659893888).

Almost surely, 2^{328035080601600} is an apocalyptic number.

328035080601600 is a gapful number since it is divisible by the number (30) 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 328035080601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562548911612928).

328035080601600 is an abundant number, since it is smaller than the sum of its proper divisors (797062742624256).

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

328035080601600 is an equidigital number, since it uses as much as digits as its factorization.

328035080601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 328035080601600 in words is "three hundred twenty-eight trillion, thirty-five billion, eighty million, six hundred one thousand, six hundred".