3083028480000 has 2100 divisors, whose sum is σ = 13426076405280. Its totient is φ = 692748288000.

The previous prime is 3083028479989. The next prime is 3083028480043. The reversal of 3083028480000 is 848203803.

It is a happy number.

3083028480000 is a `hidden beast` number, since 308 + 302 + 8 + 48 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2100).

It is a super-2 number, since 2×3083028480000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 52254719971 + ... + 52254720029.

Almost surely, 2^{3083028480000} is an apocalyptic number.

3083028480000 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 3083028480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713038202640).

3083028480000 is an abundant number, since it is smaller than the sum of its proper divisors (10343047925280).

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

3083028480000 is an frugal number, since it uses more digits than its factorization.

3083028480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 76 counting only the distinct ones).

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

The spelling of 3083028480000 in words is "three trillion, eighty-three billion, twenty-eight million, four hundred eighty thousand".