3134035200 has 432 divisors, whose sum is σ = 11095289856. Its totient is φ = 777216000.

The previous prime is 3134035193. The next prime is 3134035217. The reversal of 3134035200 is 25304313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20755125 + ... + 20755275.

Almost surely, 2^3134035200 is an apocalyptic number.

3134035200 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 3134035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547644928).

3134035200 is an abundant number, since it is smaller than the sum of its proper divisors (7961254656).

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

3134035200 is a wasteful number, since it uses less digits than its factorization.

3134035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 3134035200 is about 55982.4543942118. The cubic root of 3134035200 is about 1463.4165312062.

Adding to 3134035200 its reverse (25304313), we get a palindrome (3159339513).

The spelling of 3134035200 in words is "three billion, one hundred thirty-four million, thirty-five thousand, two hundred".