3485739200 has 126 divisors (see below), whose sum is σ = 8866612188. Its totient is φ = 1348723200.

The previous prime is 3485739193. The next prime is 3485739203. The reversal of 3485739200 is 29375843.

It is not an unprimeable number, because it can be changed into a prime (3485739203) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1536467 + ... + 1538733.

It is an arithmetic number, because the mean of its divisors is an integer number (70369938).

Almost surely, 2^3485739200 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 3485739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433306094).

3485739200 is an abundant number, since it is smaller than the sum of its proper divisors (5380872988).

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

3485739200 is a wasteful number, since it uses less digits than its factorization.

3485739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 3485739200 is about 59040.1490513024. The cubic root of 3485739200 is about 1516.2295746989.

The spelling of 3485739200 in words is "three billion, four hundred eighty-five million, seven hundred thirty-nine thousand, two hundred".