3349928858328 has 192 divisors, whose sum is σ = 9919413504000. Its totient is φ = 1015060273920.

The previous prime is 3349928858327. The next prime is 3349928858329. The reversal of 3349928858328 is 8238588299433.

3349928858328 is a `hidden beast` number, since 3 + 3 + 499 + 2 + 88 + 58 + 3 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3349928858327) and next prime (3349928858329).

It is a super-2 number, since 2×3349928858328² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3349928858327) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 300949323 + ... + 300960453.

It is an arithmetic number, because the mean of its divisors is an integer number (51663612000).

Almost surely, 2^{3349928858328} 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 3349928858328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959706752000).

3349928858328 is an abundant number, since it is smaller than the sum of its proper divisors (6569484645672).

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

3349928858328 is a wasteful number, since it uses less digits than its factorization.

3349928858328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16022 (or 16015 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 72.

The spelling of 3349928858328 in words is "three trillion, three hundred forty-nine billion, nine hundred twenty-eight million, eight hundred fifty-eight thousand, three hundred twenty-eight".