3126766272 has 224 divisors, whose sum is σ = 9770181120. Its totient is φ = 863969280.

The previous prime is 3126766271. The next prime is 3126766319. The reversal of 3126766272 is 2726676213.

3126766272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3126766271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9863458 + ... + 9863774.

It is an arithmetic number, because the mean of its divisors is an integer number (43616880).

Almost surely, 2^3126766272 is an apocalyptic number.

3126766272 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 3126766272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885090560).

3126766272 is an abundant number, since it is smaller than the sum of its proper divisors (6643414848).

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

3126766272 is a wasteful number, since it uses less digits than its factorization.

3126766272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 549 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 3126766272 is about 55917.4952228728. The cubic root of 3126766272 is about 1462.2842631299.

The spelling of 3126766272 in words is "three billion, one hundred twenty-six million, seven hundred sixty-six thousand, two hundred seventy-two".