3414040320 has 144 divisors (see below), whose sum is σ = 11198748960. Its totient is φ = 885768192.

The previous prime is 3414040307. The next prime is 3414040321. The reversal of 3414040320 is 230404143.

3414040320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414040321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130066 + ... + 154094.

It is an arithmetic number, because the mean of its divisors is an integer number (77769090).

Almost surely, 2^3414040320 is an apocalyptic number.

3414040320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599374480).

3414040320 is an abundant number, since it is smaller than the sum of its proper divisors (7784708640).

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

3414040320 is a wasteful number, since it uses less digits than its factorization.

3414040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24090 (or 24076 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3414040320 is about 58429.7896624658. The cubic root of 3414040320 is about 1505.7615921467.

Adding to 3414040320 its reverse (230404143), we get a palindrome (3644444463).

The spelling of 3414040320 in words is "three billion, four hundred fourteen million, forty thousand, three hundred twenty".