3420015200 has 144 divisors (see below), whose sum is σ = 10044357120. Its totient is φ = 1110827520.

The previous prime is 3420015197. The next prime is 3420015223. The reversal of 3420015200 is 25100243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90329 + ... + 122471.

It is an arithmetic number, because the mean of its divisors is an integer number (69752480).

Almost surely, 2^3420015200 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 3420015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022178560).

3420015200 is an abundant number, since it is smaller than the sum of its proper divisors (6624341920).

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

3420015200 is a wasteful number, since it uses less digits than its factorization.

3420015200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32189 (or 32176 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 3420015200 is about 58480.8960259673. The cubic root of 3420015200 is about 1506.6394866356.

Adding to 3420015200 its reverse (25100243), we get a palindrome (3445115443).

It can be divided in two parts, 34200 and 15200, that multiplied together give a square (519840000 = 22800²).

The spelling of 3420015200 in words is "three billion, four hundred twenty million, fifteen thousand, two hundred".