3321004513320 has 288 divisors, whose sum is σ = 12120253236000. Its totient is φ = 817477629696.

The previous prime is 3321004513301. The next prime is 3321004513327. The reversal of 3321004513320 is 233154001233.

3321004513320 is a `hidden beast` number, since 3 + 321 + 0 + 0 + 4 + 5 + 1 + 332 + 0 = 666.

It is a super-2 number, since 2×3321004513320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3321004513327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 631831 + ... + 2653529.

It is an arithmetic number, because the mean of its divisors is an integer number (42084212625).

Almost surely, 2^{3321004513320} is an apocalyptic number.

3321004513320 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 3321004513320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6060126618000).

3321004513320 is an abundant number, since it is smaller than the sum of its proper divisors (8799248722680).

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

3321004513320 is a wasteful number, since it uses less digits than its factorization.

3321004513320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021751 (or 2021722 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 3321004513320 its reverse (233154001233), we get a palindrome (3554158514553).

The spelling of 3321004513320 in words is "three trillion, three hundred twenty-one billion, four million, five hundred thirteen thousand, three hundred twenty".