3138742272 has 96 divisors (see below), whose sum is σ = 8393112000. Its totient is φ = 1043103744.

The previous prime is 3138742261. The next prime is 3138742337. The reversal of 3138742272 is 2722478313.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3138742272.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2991604 + ... + 2992652.

It is an arithmetic number, because the mean of its divisors is an integer number (87428250).

Almost surely, 2^3138742272 is an apocalyptic number.

3138742272 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 3138742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196556000).

3138742272 is an abundant number, since it is smaller than the sum of its proper divisors (5254369728).

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

3138742272 is a wasteful number, since it uses less digits than its factorization.

3138742272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1541 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 3138742272 is about 56024.4792211405. The cubic root of 3138742272 is about 1464.1488098609.

The spelling of 3138742272 in words is "three billion, one hundred thirty-eight million, seven hundred forty-two thousand, two hundred seventy-two".