3414100704 has 192 divisors, whose sum is σ = 10696315392. Its totient is φ = 933120000.

The previous prime is 3414100699. The next prime is 3414100717. The reversal of 3414100704 is 4070014143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1515579 + ... + 1517829.

It is an arithmetic number, because the mean of its divisors is an integer number (55709976).

Almost surely, 2^3414100704 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 3414100704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348157696).

3414100704 is an abundant number, since it is smaller than the sum of its proper divisors (7282214688).

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

3414100704 is a wasteful number, since it uses less digits than its factorization.

3414100704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3414100704 is about 58430.3063829037. The cubic root of 3414100704 is about 1505.7704695435.

Adding to 3414100704 its reverse (4070014143), we get a palindrome (7484114847).

The spelling of 3414100704 in words is "three billion, four hundred fourteen million, one hundred thousand, seven hundred four".