3483129000 has 512 divisors, whose sum is σ = 12546293760. Its totient is φ = 798336000.

The previous prime is 3483128981. The next prime is 3483129011. The reversal of 3483129000 is 9213843.

3483129000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51986967 + ... + 51987033.

It is an arithmetic number, because the mean of its divisors is an integer number (24504480).

Almost surely, 2^3483129000 is an apocalyptic number.

3483129000 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 3483129000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273146880).

3483129000 is an abundant number, since it is smaller than the sum of its proper divisors (9063164760).

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

3483129000 is a wasteful number, since it uses less digits than its factorization.

3483129000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3483129000 is about 59018.0396150194. The cubic root of 3483129000 is about 1515.8510179106.

The spelling of 3483129000 in words is "three billion, four hundred eighty-three million, one hundred twenty-nine thousand".