3420304400 has 120 divisors (see below), whose sum is σ = 8569475328. Its totient is φ = 1310400000.

The previous prime is 3420304379. The next prime is 3420304411. The reversal of 3420304400 is 44030243.

It is a happy number.

3420304400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1251035 + ... + 1253765.

Almost surely, 2^3420304400 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 3420304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284737664).

3420304400 is an abundant number, since it is smaller than the sum of its proper divisors (5149170928).

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

3420304400 is a wasteful number, since it uses less digits than its factorization.

3420304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3420304400 is about 58483.3685760319. The cubic root of 3420304400 is about 1506.6819530998.

Adding to 3420304400 its reverse (44030243), we get a palindrome (3464334643).

The spelling of 3420304400 in words is "three billion, four hundred twenty million, three hundred four thousand, four hundred".