3434130000 has 800 divisors, whose sum is σ = 14875238400. Its totient is φ = 741312000.

The previous prime is 3434129983. The next prime is 3434130103. The reversal of 3434130000 is 314343.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43469961 + ... + 43470039.

It is an arithmetic number, because the mean of its divisors is an integer number (18594048).

Almost surely, 2^3434130000 is an apocalyptic number.

3434130000 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 3434130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7437619200).

3434130000 is an abundant number, since it is smaller than the sum of its proper divisors (11441108400).

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

3434130000 is a wasteful number, since it uses less digits than its factorization.

3434130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3434130000 is about 58601.4504939937. The cubic root of 3434130000 is about 1508.7093337995.

Adding to 3434130000 its reverse (314343), we get a palindrome (3434444343).

The spelling of 3434130000 in words is "three billion, four hundred thirty-four million, one hundred thirty thousand".