3145432400 has 120 divisors (see below), whose sum is σ = 8349168000. Its totient is φ = 1129190400.

The previous prime is 3145432399. The next prime is 3145432403. The reversal of 3145432400 is 42345413.

It is a self number, because there is not a number n which added to its sum of digits gives 3145432400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145432403) 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, 343076 + ... + 352124.

It is an arithmetic number, because the mean of its divisors is an integer number (69576400).

Almost surely, 2^3145432400 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 3145432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174584000).

3145432400 is an abundant number, since it is smaller than the sum of its proper divisors (5203735600).

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

3145432400 is a wasteful number, since it uses less digits than its factorization.

3145432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9157 (or 9146 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 3145432400 is about 56084.1546249919. The cubic root of 3145432400 is about 1465.1883336408.

Adding to 3145432400 its reverse (42345413), we get a palindrome (3187777813).

The spelling of 3145432400 in words is "three billion, one hundred forty-five million, four hundred thirty-two thousand, four hundred".