3414451320 has 576 divisors, whose sum is σ = 13713598080. Its totient is φ = 761612544.

The previous prime is 3414451307. The next prime is 3414451357. The reversal of 3414451320 is 231544143.

It is a happy number.

3414451320 is a `hidden beast` number, since 3 + 4 + 144 + 513 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31910707 + ... + 31910813.

It is an arithmetic number, because the mean of its divisors is an integer number (23808330).

Almost surely, 2^3414451320 is an apocalyptic number.

3414451320 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 3414451320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856799040).

3414451320 is an abundant number, since it is smaller than the sum of its proper divisors (10299146760).

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

3414451320 is a wasteful number, since it uses less digits than its factorization.

3414451320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3414451320 is about 58433.3065982065. The cubic root of 3414451320 is about 1505.8220135364.

Adding to 3414451320 its reverse (231544143), we get a palindrome (3645995463).

The spelling of 3414451320 in words is "three billion, four hundred fourteen million, four hundred fifty-one thousand, three hundred twenty".