3414312720 has 720 divisors, whose sum is σ = 14931710976. Its totient is φ = 680140800.

The previous prime is 3414312661. The next prime is 3414312731. The reversal of 3414312720 is 272134143.

It is a happy number.

3414312720 is a `hidden beast` number, since 341 + 4 + 312 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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, 83275900 + ... + 83275940.

Almost surely, 2^3414312720 is an apocalyptic number.

3414312720 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 3414312720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7465855488).

3414312720 is an abundant number, since it is smaller than the sum of its proper divisors (11517398256).

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

3414312720 is a wasteful number, since it uses less digits than its factorization.

3414312720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3414312720 is about 58432.1206187145. The cubic root of 3414312720 is about 1505.8016383979.

Adding to 3414312720 its reverse (272134143), we get a palindrome (3686446863).

The spelling of 3414312720 in words is "three billion, four hundred fourteen million, three hundred twelve thousand, seven hundred twenty".