3366875339520 has 2592 divisors, whose sum is σ = 15074408821248. Its totient is φ = 621674496000.

The previous prime is 3366875339461. The next prime is 3366875339533. The reversal of 3366875339520 is 259335786633.

It is a happy number.

It is a super-2 number, since 2×3366875339520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 82118910700 + ... + 82118910740.

It is an arithmetic number, because the mean of its divisors is an integer number (5815744144).

Almost surely, 2^{3366875339520} is an apocalyptic number.

3366875339520 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 3366875339520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7537204410624).

3366875339520 is an abundant number, since it is smaller than the sum of its proper divisors (11707533481728).

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

3366875339520 is a wasteful number, since it uses less digits than its factorization.

3366875339520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 60.

The spelling of 3366875339520 in words is "three trillion, three hundred sixty-six billion, eight hundred seventy-five million, three hundred thirty-nine thousand, five hundred twenty".