3304442494080 has 1536 divisors, whose sum is σ = 15524496288000. Its totient is φ = 656152068096.

The previous prime is 3304442494039. The next prime is 3304442494081. The reversal of 3304442494080 is 804942444033.

3304442494080 is a `hidden beast` number, since 3 + 3 + 0 + 44 + 42 + 494 + 0 + 80 = 666.

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 (3304442494081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 187116291 + ... + 187133949.

Almost surely, 2^{3304442494080} is an apocalyptic number.

3304442494080 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 3304442494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7762248144000).

3304442494080 is an abundant number, since it is smaller than the sum of its proper divisors (12220053793920).

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

3304442494080 is a wasteful number, since it uses less digits than its factorization.

3304442494080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17731 (or 17706 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 3304442494080 in words is "three trillion, three hundred four billion, four hundred forty-two million, four hundred ninety-four thousand, eighty".