3349967328000 has 576 divisors, whose sum is σ = 12387215917440. Its totient is φ = 891592704000.

The previous prime is 3349967327989. The next prime is 3349967328007. The reversal of 3349967328000 is 8237699433.

3349967328000 is a `hidden beast` number, since 3 + 3 + 499 + 6 + 73 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3349967328000² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3349967328007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 481244520 + ... + 481251480.

It is an arithmetic number, because the mean of its divisors is an integer number (21505583190).

Almost surely, 2^{3349967328000} is an apocalyptic number.

3349967328000 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 3349967328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193607958720).

3349967328000 is an abundant number, since it is smaller than the sum of its proper divisors (9037248589440).

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

3349967328000 is an equidigital number, since it uses as much as digits as its factorization.

3349967328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7558 (or 7528 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 3349967328000 in words is "three trillion, three hundred forty-nine billion, nine hundred sixty-seven million, three hundred twenty-eight thousand".