3414442214310 has 64 divisors (see below), whose sum is σ = 8200397774592. Its totient is φ = 909880811136.

The previous prime is 3414442214263. The next prime is 3414442214311. The reversal of 3414442214310 is 134122444143.

It is a happy number.

It is a super-2 number, since 2×3414442214310² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414442214311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329669652 + ... + 329680008.

It is an arithmetic number, because the mean of its divisors is an integer number (128131215228).

Almost surely, 2^{3414442214310} is an apocalyptic number.

3414442214310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3414442214310 is an abundant number, since it is smaller than the sum of its proper divisors (4785955560282).

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

3414442214310 is a wasteful number, since it uses less digits than its factorization.

3414442214310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16997.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 3414442214310 its reverse (134122444143), we get a palindrome (3548564658453).

The spelling of 3414442214310 in words is "three trillion, four hundred fourteen billion, four hundred forty-two million, two hundred fourteen thousand, three hundred ten".