3141450400 has 432 divisors, whose sum is σ = 9425771712. Its totient is φ = 1016012800.

The previous prime is 3141450371. The next prime is 3141450409. The reversal of 3141450400 is 40541413.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3141450409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37848759 + ... + 37848841.

It is an arithmetic number, because the mean of its divisors is an integer number (21818916).

Almost surely, 2^3141450400 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 3141450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712885856).

3141450400 is an abundant number, since it is smaller than the sum of its proper divisors (6284321312).

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

3141450400 is a wasteful number, since it uses less digits than its factorization.

3141450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 3141450400 is about 56048.6431593130. The cubic root of 3141450400 is about 1464.5697813009.

Adding to 3141450400 its reverse (40541413), we get a palindrome (3181991813).

The spelling of 3141450400 in words is "three billion, one hundred forty-one million, four hundred fifty thousand, four hundred".