3142544400 has 360 divisors, whose sum is σ = 11657468160. Its totient is φ = 782208000.

The previous prime is 3142544393. The next prime is 3142544437. The reversal of 3142544400 is 44452413.

It is a happy number.

3142544400 is a `hidden beast` number, since 3 + 1 + 4 + 254 + 4 + 400 = 666.

3142544400 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 (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3235915 + ... + 3236885.

It is an arithmetic number, because the mean of its divisors is an integer number (32381856).

Almost surely, 2^3142544400 is an apocalyptic number.

3142544400 is a gapful number since it is divisible by the number (30) 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 3142544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828734080).

3142544400 is an abundant number, since it is smaller than the sum of its proper divisors (8514923760).

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

3142544400 is a wasteful number, since it uses less digits than its factorization.

3142544400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 3142544400 is about 56058.4016896665. The cubic root of 3142544400 is about 1464.7397721417.

Adding to 3142544400 its reverse (44452413), we get a palindrome (3186996813).

The spelling of 3142544400 in words is "three billion, one hundred forty-two million, five hundred forty-four thousand, four hundred".