3126270400 has 168 divisors, whose sum is σ = 8757903744. Its totient is φ = 1087257600.

The previous prime is 3126270391. The next prime is 3126270401. The reversal of 3126270400 is 40726213.

It is a super-2 number, since 2×3126270400² = 19547133227832320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3126270401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400939 + ... + 408661.

Almost surely, 2^3126270400 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 3126270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378951872).

3126270400 is an abundant number, since it is smaller than the sum of its proper divisors (5631633344).

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

3126270400 is a wasteful number, since it uses less digits than its factorization.

3126270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7779 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 3126270400 is about 55913.0610859395. The cubic root of 3126270400 is about 1462.2069581131.

Adding to 3126270400 its reverse (40726213), we get a palindrome (3166996613).

The spelling of 3126270400 in words is "three billion, one hundred twenty-six million, two hundred seventy thousand, four hundred".