3420204000 has 192 divisors, whose sum is σ = 11247792192. Its totient is φ = 908544000.

The previous prime is 3420203993. The next prime is 3420204031. The reversal of 3420204000 is 4020243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 5051662 + ... + 5052338.

It is an arithmetic number, because the mean of its divisors is an integer number (58582251).

Almost surely, 2^3420204000 is an apocalyptic number.

3420204000 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 3420204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5623896096).

3420204000 is an abundant number, since it is smaller than the sum of its proper divisors (7827588192).

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

3420204000 is a wasteful number, since it uses less digits than its factorization.

3420204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3420204000 is about 58482.5102060437. The cubic root of 3420204000 is about 1506.6672105183.

Adding to 3420204000 its reverse (4020243), we get a palindrome (3424224243).

The spelling of 3420204000 in words is "three billion, four hundred twenty million, two hundred four thousand".