326345600 has 192 divisors, whose sum is σ = 976678560. Its totient is φ = 105185280.

The previous prime is 326345567. The next prime is 326345633. The reversal of 326345600 is 6543623.

It is an interprime number because it is at equal distance from previous prime (326345567) and next prime (326345633).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380372 + ... + 381228.

Almost surely, 2^326345600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 326345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488339280).

326345600 is an abundant number, since it is smaller than the sum of its proper divisors (650332960).

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

326345600 is a wasteful number, since it uses less digits than its factorization.

326345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 326345600 is about 18065.0380569762. The cubic root of 326345600 is about 688.4819950404.

The spelling of 326345600 in words is "three hundred twenty-six million, three hundred forty-five thousand, six hundred".