3119007072 has 96 divisors (see below), whose sum is σ = 8491392000. Its totient is φ = 1001251328.

The previous prime is 3119007049. The next prime is 3119007079. The reversal of 3119007072 is 2707009113.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3119007079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1298929 + ... + 1301327.

It is an arithmetic number, because the mean of its divisors is an integer number (88452000).

Almost surely, 2^3119007072 is an apocalyptic number.

3119007072 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 3119007072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696000).

3119007072 is an abundant number, since it is smaller than the sum of its proper divisors (5372384928).

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

3119007072 is a wasteful number, since it uses less digits than its factorization.

3119007072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 3119007072 is about 55848.0713364392. The cubic root of 3119007072 is about 1461.0736882264.

The spelling of 3119007072 in words is "three billion, one hundred nineteen million, seven thousand, seventy-two".