3083028480 has 672 divisors, whose sum is σ = 12890404800. Its totient is φ = 692748288.

The previous prime is 3083028469. The next prime is 3083028547. The reversal of 3083028480 is 848203803.

It is a happy number.

3083028480 is a `hidden beast` number, since 308 + 302 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3083028480² = 19010129216982220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 52254691 + ... + 52254749.

It is an arithmetic number, because the mean of its divisors is an integer number (19182150).

Almost surely, 2^3083028480 is an apocalyptic number.

3083028480 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 3083028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6445202400).

3083028480 is an abundant number, since it is smaller than the sum of its proper divisors (9807376320).

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

3083028480 is an frugal number, since it uses more digits than its factorization.

3083028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3083028480 is about 55525.0257091341. The cubic root of 3083028480 is about 1455.4339868124.

The spelling of 3083028480 in words is "three billion, eighty-three million, twenty-eight thousand, four hundred eighty".