3127868352 has 672 divisors, whose sum is σ = 11820997440. Its totient is φ = 805109760.

The previous prime is 3127868351. The next prime is 3127868353. The reversal of 3127868352 is 2538687213.

It is an interprime number because it is at equal distance from previous prime (3127868351) and next prime (3127868353).

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 3127868298 and 3127868307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3127868351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59016358 + ... + 59016410.

It is an arithmetic number, because the mean of its divisors is an integer number (17590770).

Almost surely, 2^3127868352 is an apocalyptic number.

3127868352 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 3127868352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5910498720).

3127868352 is an abundant number, since it is smaller than the sum of its proper divisors (8693129088).

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

3127868352 is a wasteful number, since it uses less digits than its factorization.

3127868352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 3127868352 is about 55927.3488733375. The cubic root of 3127868352 is about 1462.4560449643.

The spelling of 3127868352 in words is "three billion, one hundred twenty-seven million, eight hundred sixty-eight thousand, three hundred fifty-two".