3414740720 has 80 divisors (see below), whose sum is σ = 8272908000. Its totient is φ = 1309185024.

The previous prime is 3414740711. The next prime is 3414740731. The reversal of 3414740720 is 270474143.

3414740720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×3414740720² = 23320908369652236800, which contains 22 as substring.

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, 317186 + ... + 327774.

It is an arithmetic number, because the mean of its divisors is an integer number (103411350).

Almost surely, 2^3414740720 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 3414740720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136454000).

3414740720 is an abundant number, since it is smaller than the sum of its proper divisors (4858167280).

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

3414740720 is a wasteful number, since it uses less digits than its factorization.

3414740720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10770 (or 10764 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 3414740720 is about 58435.7828731677. The cubic root of 3414740720 is about 1505.8645555183.

The spelling of 3414740720 in words is "three billion, four hundred fourteen million, seven hundred forty thousand, seven hundred twenty".