3134800272 has 320 divisors, whose sum is σ = 9642240000. Its totient is φ = 870211584.

The previous prime is 3134800271. The next prime is 3134800303. The reversal of 3134800272 is 2720084313.

It is not an unprimeable number, because it can be changed into a prime (3134800271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21038854 + ... + 21039002.

It is an arithmetic number, because the mean of its divisors is an integer number (30132000).

Almost surely, 2^3134800272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134800272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821120000).

3134800272 is an abundant number, since it is smaller than the sum of its proper divisors (6507439728).

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

3134800272 is a wasteful number, since it uses less digits than its factorization.

3134800272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3134800272 is about 55989.2871181622. The cubic root of 3134800272 is about 1463.5356032488.

Adding to 3134800272 its reverse (2720084313), we get a palindrome (5854884585).

The spelling of 3134800272 in words is "three billion, one hundred thirty-four million, eight hundred thousand, two hundred seventy-two".