3480304320 has 224 divisors, whose sum is σ = 12431816640. Its totient is φ = 927894528.

The previous prime is 3480304301. The next prime is 3480304337. The reversal of 3480304320 is 234030843.

3480304320 is a `hidden beast` number, since 34 + 8 + 0 + 304 + 320 = 666.

3480304320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3480304320² = 24225036319621324800, which contains 22 as substring.

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

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, 697354 + ... + 702326.

Almost surely, 2^3480304320 is an apocalyptic number.

3480304320 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 3480304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215908320).

3480304320 is an abundant number, since it is smaller than the sum of its proper divisors (8951512320).

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

3480304320 is an frugal number, since it uses more digits than its factorization.

3480304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5011 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3480304320 is about 58994.1041121907. The cubic root of 3480304320 is about 1515.4411419982.

The spelling of 3480304320 in words is "three billion, four hundred eighty million, three hundred four thousand, three hundred twenty".