3406505200 has 90 divisors (see below), whose sum is σ = 9361777544. Its totient is φ = 1166885760.

The previous prime is 3406505197. The next prime is 3406505239. The reversal of 3406505200 is 25056043.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3087849 + ... + 3088951.

Almost surely, 2^3406505200 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 3406505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680888772).

3406505200 is an abundant number, since it is smaller than the sum of its proper divisors (5955272344).

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

3406505200 is an equidigital number, since it uses as much as digits as its factorization.

3406505200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 3406505200 is about 58365.2739220849. The cubic root of 3406505200 is about 1504.6529885777.

The spelling of 3406505200 in words is "three billion, four hundred six million, five hundred five thousand, two hundred".