326452381920 has 1008 divisors, whose sum is σ = 1357703369568. Its totient is φ = 72626595840.

The previous prime is 326452381889. The next prime is 326452381939. The reversal of 326452381920 is 29183254623.

326452381920 is a `hidden beast` number, since 3 + 2 + 6 + 452 + 3 + 8 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×326452381920³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1803604230 + ... + 1803604410.

It is an arithmetic number, because the mean of its divisors is an integer number (1346927946).

Almost surely, 2^326452381920 is an apocalyptic number.

326452381920 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 326452381920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678851684784).

326452381920 is an abundant number, since it is smaller than the sum of its proper divisors (1031250987648).

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

326452381920 is an equidigital number, since it uses as much as digits as its factorization.

326452381920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 326452381920 in words is "three hundred twenty-six billion, four hundred fifty-two million, three hundred eighty-one thousand, nine hundred twenty".