3420822720 has 224 divisors, whose sum is σ = 12813889536. Its totient is φ = 756633600.

The previous prime is 3420822709. The next prime is 3420822737. The reversal of 3420822720 is 272280243.

3420822720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200110 + ... + 216530.

It is an arithmetic number, because the mean of its divisors is an integer number (57204864).

Almost surely, 2^3420822720 is an apocalyptic number.

3420822720 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 3420822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6406944768).

3420822720 is an abundant number, since it is smaller than the sum of its proper divisors (9393066816).

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

3420822720 is a wasteful number, since it uses less digits than its factorization.

3420822720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16479 (or 16469 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 3420822720 is about 58487.7997534529. The cubic root of 3420822720 is about 1506.7580578216.

The spelling of 3420822720 in words is "three billion, four hundred twenty million, eight hundred twenty-two thousand, seven hundred twenty".