3456720000 has 240 divisors, whose sum is σ = 12432450030. Its totient is φ = 921600000.

The previous prime is 3456719953. The next prime is 3456720011. The reversal of 3456720000 is 276543.

It is a happy number.

3456720000 is a `hidden beast` number, since 3 + 456 + 7 + 200 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 75064896 + 3381655104 = 8664^2 + 58152^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 717600 + ... + 722400.

Almost surely, 2^3456720000 is an apocalyptic number.

3456720000 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 3456720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6216225015).

3456720000 is an abundant number, since it is smaller than the sum of its proper divisors (8975730030).

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

3456720000 is an equidigital number, since it uses as much as digits as its factorization.

3456720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4841 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3456720000 is about 58793.8772322425. The cubic root of 3456720000 is about 1512.0102460043.

Adding to 3456720000 its reverse (276543), we get a palindrome (3456996543).

The spelling of 3456720000 in words is "three billion, four hundred fifty-six million, seven hundred twenty thousand".