3134413100 has 288 divisors, whose sum is σ = 8884764672. Its totient is φ = 933120000.

The previous prime is 3134413091. The next prime is 3134413129. The reversal of 3134413100 is 13144313.

It is a super-2 number, since 2×3134413100² = 19649090962903220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 11565965 + ... + 11566235.

Almost surely, 2^3134413100 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 3134413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4442382336).

3134413100 is an abundant number, since it is smaller than the sum of its proper divisors (5750351572).

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

3134413100 is a wasteful number, since it uses less digits than its factorization.

3134413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3134413100 is about 55985.8294571046. The cubic root of 3134413100 is about 1463.4753481249.

Adding to 3134413100 its reverse (13144313), we get a palindrome (3147557413).

It can be divided in two parts, 31344 and 13100, that added together give a palindrome (44444).

The spelling of 3134413100 in words is "three billion, one hundred thirty-four million, four hundred thirteen thousand, one hundred".