3138279552 has 320 divisors, whose sum is σ = 9997020000. Its totient is φ = 974426112.

The previous prime is 3138279539. The next prime is 3138279569. The reversal of 3138279552 is 2559728313.

3138279552 is a `hidden beast` number, since 3 + 13 + 82 + 7 + 9 + 552 = 666.

It is a super-3 number, since 3×3138279552³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3138279498 and 3138279507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17532199 + ... + 17532377.

Almost surely, 2^3138279552 is an apocalyptic number.

3138279552 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 3138279552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4998510000).

3138279552 is an abundant number, since it is smaller than the sum of its proper divisors (6858740448).

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

3138279552 is a wasteful number, since it uses less digits than its factorization.

3138279552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 292 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 3138279552 is about 56020.3494455363. The cubic root of 3138279552 is about 1464.0768570239.

The spelling of 3138279552 in words is "three billion, one hundred thirty-eight million, two hundred seventy-nine thousand, five hundred fifty-two".