3126878253792 has 144 divisors (see below), whose sum is σ = 9223132988160. Its totient is φ = 1042096378752.

The previous prime is 3126878253791. The next prime is 3126878253833. The reversal of 3126878253792 is 2973528786213.

3126878253792 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 8 + 7 + 8 + 2 + 537 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3126878253792² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3126878253791) 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 23 ways as a sum of consecutive naturals, for example, 44622559 + ... + 44692577.

It is an arithmetic number, because the mean of its divisors is an integer number (64049534640).

Almost surely, 2^{3126878253792} is an apocalyptic number.

3126878253792 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 3126878253792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611566494080).

3126878253792 is an abundant number, since it is smaller than the sum of its proper divisors (6096254734368).

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

3126878253792 is an equidigital number, since it uses as much as digits as its factorization.

3126878253792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75787 (or 75767 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 3126878253792 in words is "three trillion, one hundred twenty-six billion, eight hundred seventy-eight million, two hundred fifty-three thousand, seven hundred ninety-two".