3386383038864 has 1600 divisors, whose sum is σ = 12910449868800. Its totient is φ = 844958822400.

The previous prime is 3386383038859. The next prime is 3386383038881. The reversal of 3386383038864 is 4688303836833.

It is a super-2 number, since 2×3386383038864² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14051381784 + ... + 14051382024.

It is an arithmetic number, because the mean of its divisors is an integer number (8069031168).

Almost surely, 2^{3386383038864} 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 3386383038864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6455224934400).

3386383038864 is an abundant number, since it is smaller than the sum of its proper divisors (9524066829936).

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

3386383038864 is a wasteful number, since it uses less digits than its factorization.

3386383038864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 63.

The spelling of 3386383038864 in words is "three trillion, three hundred eighty-six billion, three hundred eighty-three million, thirty-eight thousand, eight hundred sixty-four".