3138276960 has 576 divisors, whose sum is σ = 13684349952. Its totient is φ = 661395456.

The previous prime is 3138276923. The next prime is 3138277031. The reversal of 3138276960 is 696728313.

3138276960 is a `hidden beast` number, since 313 + 8 + 276 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3537637 + ... + 3538523.

It is an arithmetic number, because the mean of its divisors is an integer number (23757552).

Almost surely, 2^3138276960 is an apocalyptic number.

3138276960 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 3138276960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6842174976).

3138276960 is an abundant number, since it is smaller than the sum of its proper divisors (10546072992).

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

3138276960 is a wasteful number, since it uses less digits than its factorization.

3138276960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3138276960 is about 56020.3263110811. The cubic root of 3138276960 is about 1464.0764539487.

The spelling of 3138276960 in words is "three billion, one hundred thirty-eight million, two hundred seventy-six thousand, nine hundred sixty".