3331400120217 has 96 divisors (see below), whose sum is σ = 5368245442560. Its totient is φ = 1976964986880.

The previous prime is 3331400120159. The next prime is 3331400120233. The reversal of 3331400120217 is 7120210041333.

It is a happy number.

3331400120217 is a `hidden beast` number, since 3 + 3 + 31 + 400 + 12 + 0 + 217 = 666.

It is not a de Polignac number, because 3331400120217 - 2¹¹ = 3331400118169 is a prime.

It is a super-2 number, since 2×3331400120217² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3331400120267) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1803680788 + ... + 1803682634.

It is an arithmetic number, because the mean of its divisors is an integer number (55919223360).

Almost surely, 2^{3331400120217} is an apocalyptic number.

It is an amenable number.

3331400120217 is a deficient number, since it is larger than the sum of its proper divisors (2036845322343).

3331400120217 is a wasteful number, since it uses less digits than its factorization.

3331400120217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 3331400120217 in words is "three trillion, three hundred thirty-one billion, four hundred million, one hundred twenty thousand, two hundred seventeen".