3301217170400 has 144 divisors (see below), whose sum is σ = 8258684785344. Its totient is φ = 1287976212480.

The previous prime is 3301217170379. The next prime is 3301217170411. The reversal of 3301217170400 is 40717121033.

It is a happy number.

It is a super-2 number, since 2×3301217170400² (a number of 26 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 10866974 + ... + 11166626.

It is an arithmetic number, because the mean of its divisors is an integer number (57351977676).

Almost surely, 2^{3301217170400} 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 3301217170400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129342392672).

3301217170400 is an abundant number, since it is smaller than the sum of its proper divisors (4957467614944).

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

3301217170400 is a wasteful number, since it uses less digits than its factorization.

3301217170400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300013 (or 300000 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The spelling of 3301217170400 in words is "three trillion, three hundred one billion, two hundred seventeen million, one hundred seventy thousand, four hundred".