3414103221312 has 448 divisors, whose sum is σ = 11525829120000. Its totient is φ = 970781220864.

The previous prime is 3414103221307. The next prime is 3414103221317. The reversal of 3414103221312 is 2131223014143.

3414103221312 is a `hidden beast` number, since 3 + 4 + 1 + 410 + 32 + 213 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3414103221307) and next prime (3414103221317).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3414103221312² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3414103221317) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3383649864 + ... + 3383650872.

Almost surely, 2^{3414103221312} is an apocalyptic number.

3414103221312 is a gapful number since it is divisible by the number (32) 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 3414103221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762914560000).

3414103221312 is an abundant number, since it is smaller than the sum of its proper divisors (8111725898688).

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

3414103221312 is a wasteful number, since it uses less digits than its factorization.

3414103221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 3414103221312 its reverse (2131223014143), we get a palindrome (5545326235455).

The spelling of 3414103221312 in words is "three trillion, four hundred fourteen billion, one hundred three million, two hundred twenty-one thousand, three hundred twelve".