328746378240 has 1584 divisors, whose sum is σ = 1427030841600. Its totient is φ = 69561483264.

The previous prime is 328746378223. The next prime is 328746378253. The reversal of 328746378240 is 42873647823.

It is a happy number.

328746378240 is a `hidden beast` number, since 3 + 28 + 7 + 4 + 6 + 378 + 240 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3389137872 + ... + 3389137968.

Almost surely, 2^328746378240 is an apocalyptic number.

328746378240 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 328746378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713515420800).

328746378240 is an abundant number, since it is smaller than the sum of its proper divisors (1098284463360).

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

328746378240 is a wasteful number, since it uses less digits than its factorization.

328746378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 328746378240 in words is "three hundred twenty-eight billion, seven hundred forty-six million, three hundred seventy-eight thousand, two hundred forty".