3145434100 has 72 divisors (see below), whose sum is σ = 6930103320. Its totient is φ = 1239060480.

The previous prime is 3145434077. The next prime is 3145434113. The reversal of 3145434100 is 14345413.

It can be written as a sum of positive squares in 12 ways, for example, as 279759076 + 2865675024 = 16726^2 + 53532^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1954096 + ... + 1955704.

It is an arithmetic number, because the mean of its divisors is an integer number (96251435).

Almost surely, 2^3145434100 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 3145434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465051660).

3145434100 is an abundant number, since it is smaller than the sum of its proper divisors (3784669220).

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

3145434100 is a wasteful number, since it uses less digits than its factorization.

3145434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3145434100 is about 56084.1697807857. The cubic root of 3145434100 is about 1465.1885976023.

Adding to 3145434100 its reverse (14345413), we get a palindrome (3159779513).

The spelling of 3145434100 in words is "three billion, one hundred forty-five million, four hundred thirty-four thousand, one hundred".