3414935808 has 144 divisors (see below), whose sum is σ = 10128101760. Its totient is φ = 1134987264.

The previous prime is 3414935807. The next prime is 3414935837. The reversal of 3414935808 is 8085394143.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3414935808² = 23323573145521225728, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3414935801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3849541 + ... + 3850427.

It is an arithmetic number, because the mean of its divisors is an integer number (70334040).

Almost surely, 2^3414935808 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 3414935808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5064050880).

3414935808 is an abundant number, since it is smaller than the sum of its proper divisors (6713165952).

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

3414935808 is an equidigital number, since it uses as much as digits as its factorization.

3414935808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3414935808 is about 58437.4521005151. The cubic root of 3414935808 is about 1505.8932322207.

The spelling of 3414935808 in words is "three billion, four hundred fourteen million, nine hundred thirty-five thousand, eight hundred eight".