3072142080 has 864 divisors, whose sum is σ = 13499426304. Its totient is φ = 652935168.

The previous prime is 3072142061. The next prime is 3072142093. The reversal of 3072142080 is 802412703.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37013719 + ... + 37013801.

It is an arithmetic number, because the mean of its divisors is an integer number (15624336).

Almost surely, 2^3072142080 is an apocalyptic number.

3072142080 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 3072142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749713152).

3072142080 is an abundant number, since it is smaller than the sum of its proper divisors (10427284224).

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

3072142080 is an equidigital number, since it uses as much as digits as its factorization.

3072142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3072142080 is about 55426.9075449822. The cubic root of 3072142080 is about 1453.7188850742.

Adding to 3072142080 its reverse (802412703), we get a palindrome (3874554783).

The spelling of 3072142080 in words is "three billion, seventy-two million, one hundred forty-two thousand, eighty".