3414333314100 has 72 divisors (see below), whose sum is σ = 9915528803040. Its totient is φ = 907104145280.

The previous prime is 3414333314053. The next prime is 3414333314101. The reversal of 3414333314100 is 14133334143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414333314101) 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 23 ways as a sum of consecutive naturals, for example, 21073782 + ... + 21235181.

It is an arithmetic number, because the mean of its divisors is an integer number (137715677820).

Almost surely, 2^{3414333314100} is an apocalyptic number.

3414333314100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3414333314100 is an abundant number, since it is smaller than the sum of its proper divisors (6501195488940).

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

3414333314100 is a wasteful number, since it uses less digits than its factorization.

3414333314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42309249 (or 42309242 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 3414333314100 its reverse (14133334143), we get a palindrome (3428466648243).

The spelling of 3414333314100 in words is "three trillion, four hundred fourteen billion, three hundred thirty-three million, three hundred fourteen thousand, one hundred".