3429811200 has 528 divisors, whose sum is σ = 12500521344. Its totient is φ = 825753600.

The previous prime is 3429811157. The next prime is 3429811213. The reversal of 3429811200 is 21189243.

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 47 ways as a sum of consecutive naturals, for example, 48307165 + ... + 48307235.

Almost surely, 2^3429811200 is an apocalyptic number.

3429811200 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 3429811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6250260672).

3429811200 is an abundant number, since it is smaller than the sum of its proper divisors (9070710144).

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

3429811200 is a wasteful number, since it uses less digits than its factorization.

3429811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 3429811200 is about 58564.5899840509. The cubic root of 3429811200 is about 1508.0766119521.

The spelling of 3429811200 in words is "three billion, four hundred twenty-nine million, eight hundred eleven thousand, two hundred".