3302980408224 has 576 divisors, whose sum is σ = 11547078746112. Its totient is φ = 908840217600.

The previous prime is 3302980408199. The next prime is 3302980408243. The reversal of 3302980408224 is 4228040892033.

3302980408224 is a `hidden beast` number, since 3 + 302 + 9 + 80 + 40 + 8 + 224 = 666.

It is a super-3 number, since 3×3302980408224³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3302980408224.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 356035074 + ... + 356044350.

It is an arithmetic number, because the mean of its divisors is an integer number (20047011712).

Almost surely, 2^{3302980408224} 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 3302980408224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5773539373056).

3302980408224 is an abundant number, since it is smaller than the sum of its proper divisors (8244098337888).

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

3302980408224 is a wasteful number, since it uses less digits than its factorization.

3302980408224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9551 (or 9531 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3302980408224 in words is "three trillion, three hundred two billion, nine hundred eighty million, four hundred eight thousand, two hundred twenty-four".