3363076499328 has 768 divisors, whose sum is σ = 12835823616000. Its totient is φ = 858336030720.

The previous prime is 3363076499249. The next prime is 3363076499353. The reversal of 3363076499328 is 8239946703633.

3363076499328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3363076499328² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 68220993 + ... + 68270271.

It is an arithmetic number, because the mean of its divisors is an integer number (16713312000).

Almost surely, 2^{3363076499328} 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 3363076499328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6417911808000).

3363076499328 is an abundant number, since it is smaller than the sum of its proper divisors (9472747116672).

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

3363076499328 is a wasteful number, since it uses less digits than its factorization.

3363076499328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49360 (or 49335 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 63.

The spelling of 3363076499328 in words is "three trillion, three hundred sixty-three billion, seventy-six million, four hundred ninety-nine thousand, three hundred twenty-eight".