3069142272 has 288 divisors, whose sum is σ = 10455468800. Its totient is φ = 869916672.

The previous prime is 3069142261. The next prime is 3069142283. The reversal of 3069142272 is 2722419603.

3069142272 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3069142261) and next prime (3069142283).

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 11079798 + ... + 11080074.

Almost surely, 2^3069142272 is an apocalyptic number.

3069142272 is a gapful number since it is divisible by the number (32) 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 3069142272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227734400).

3069142272 is an abundant number, since it is smaller than the sum of its proper divisors (7386326528).

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

3069142272 is a wasteful number, since it uses less digits than its factorization.

3069142272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3069142272 is about 55399.8399997690. The cubic root of 3069142272 is about 1453.2455673697.

The spelling of 3069142272 in words is "three billion, sixty-nine million, one hundred forty-two thousand, two hundred seventy-two".