3298009366080 has 2688 divisors, whose sum is σ = 14746916505600. Its totient is φ = 685780992000.

The previous prime is 3298009366051. The next prime is 3298009366097. The reversal of 3298009366080 is 806639008923.

3298009366080 is a `hidden beast` number, since 3 + 29 + 8 + 0 + 0 + 9 + 3 + 6 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30822517387 + ... + 30822517493.

Almost surely, 2^{3298009366080} is an apocalyptic number.

3298009366080 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 3298009366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373458252800).

3298009366080 is an abundant number, since it is smaller than the sum of its proper divisors (11448907139520).

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

3298009366080 is a wasteful number, since it uses less digits than its factorization.

3298009366080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 3298009366080 in words is "three trillion, two hundred ninety-eight billion, nine million, three hundred sixty-six thousand, eighty".