3144550400 has 72 divisors (see below), whose sum is σ = 7796708010. Its totient is φ = 1257799680.

The previous prime is 3144550373. The next prime is 3144550447. The reversal of 3144550400 is 40554413.

It can be written as a sum of positive squares in 3 ways, for example, as 2056078336 + 1088472064 = 45344^2 + 32992^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3144550400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20492 + ... + 81908.

Almost surely, 2^3144550400 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 3144550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898354005).

3144550400 is an abundant number, since it is smaller than the sum of its proper divisors (4652157610).

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

3144550400 is an equidigital number, since it uses as much as digits as its factorization.

3144550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61449 (or 61424 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 3144550400 is about 56076.2908901792. The cubic root of 3144550400 is about 1465.0513713460.

The spelling of 3144550400 in words is "three billion, one hundred forty-four million, five hundred fifty thousand, four hundred".