3145223400 has 192 divisors, whose sum is σ = 10688155200. Its totient is φ = 758784000.

The previous prime is 3145223353. The next prime is 3145223407. The reversal of 3145223400 is 43225413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3145223407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1510360 + ... + 1512440.

It is an arithmetic number, because the mean of its divisors is an integer number (55667475).

Almost surely, 2^3145223400 is an apocalyptic number.

3145223400 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 3145223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5344077600).

3145223400 is an abundant number, since it is smaller than the sum of its proper divisors (7542931800).

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

3145223400 is a wasteful number, since it uses less digits than its factorization.

3145223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3145223400 is about 56082.2913226626. The cubic root of 3145223400 is about 1465.1558811716.

Adding to 3145223400 its reverse (43225413), we get a palindrome (3188448813).

It can be divided in two parts, 3 and 145223400, that added together give a triangular number (145223403 = T₁₇₀₄₂).

The spelling of 3145223400 in words is "three billion, one hundred forty-five million, two hundred twenty-three thousand, four hundred".