3485845200 has 240 divisors, whose sum is σ = 11424983040. Its totient is φ = 908328960.

The previous prime is 3485845199. The next prime is 3485845213. The reversal of 3485845200 is 25485843.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3485845200² = 24302233516726080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13563472 + ... + 13563728.

It is an arithmetic number, because the mean of its divisors is an integer number (47604096).

Almost surely, 2^3485845200 is an apocalyptic number.

3485845200 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 3485845200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712491520).

3485845200 is an abundant number, since it is smaller than the sum of its proper divisors (7939137840).

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

3485845200 is a wasteful number, since it uses less digits than its factorization.

3485845200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The square root of 3485845200 is about 59041.0467386885. The cubic root of 3485845200 is about 1516.2449438642.

The spelling of 3485845200 in words is "three billion, four hundred eighty-five million, eight hundred forty-five thousand, two hundred".