3414111440 has 80 divisors (see below), whose sum is σ = 8089006080. Its totient is φ = 1339752960.

The previous prime is 3414111433. The next prime is 3414111517. The reversal of 3414111440 is 441114143.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2668721 + ... + 2669999.

It is an arithmetic number, because the mean of its divisors is an integer number (101112576).

Almost surely, 2^3414111440 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 3414111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4044503040).

3414111440 is an abundant number, since it is smaller than the sum of its proper divisors (4674894640).

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

3414111440 is a wasteful number, since it uses less digits than its factorization.

3414111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 3414111440 is about 58430.3982529642. The cubic root of 3414111440 is about 1505.7720478932.

Adding to 3414111440 its reverse (441114143), we get a palindrome (3855225583).

The spelling of 3414111440 in words is "three billion, four hundred fourteen million, one hundred eleven thousand, four hundred forty".