3420360720 has 360 divisors, whose sum is σ = 13570899264. Its totient is φ = 769595904.

The previous prime is 3420360719. The next prime is 3420360721. The reversal of 3420360720 is 270630243.

3420360720 is a `hidden beast` number, since 34 + 2 + 0 + 3 + 607 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3420360719) and next prime (3420360721).

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (3420360721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2363037 + ... + 2364483.

Almost surely, 2^3420360720 is an apocalyptic number.

3420360720 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 3420360720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785449632).

3420360720 is an abundant number, since it is smaller than the sum of its proper divisors (10150538544).

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

3420360720 is a wasteful number, since it uses less digits than its factorization.

3420360720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3420360720 is about 58483.8500784618. The cubic root of 3420360720 is about 1506.6902229155.

Adding to 3420360720 its reverse (270630243), we get a palindrome (3690990963).

The spelling of 3420360720 in words is "three billion, four hundred twenty million, three hundred sixty thousand, seven hundred twenty".