3420403400 has 96 divisors (see below), whose sum is σ = 8502848640. Its totient is φ = 1275048960.

The previous prime is 3420403391. The next prime is 3420403423. The reversal of 3420403400 is 43040243.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345317 + ... + 355083.

It is an arithmetic number, because the mean of its divisors is an integer number (88571340).

Almost surely, 2^3420403400 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 3420403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251424320).

3420403400 is an abundant number, since it is smaller than the sum of its proper divisors (5082445240).

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

3420403400 is a wasteful number, since it uses less digits than its factorization.

3420403400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9903 (or 9894 counting only the distinct ones).

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

The square root of 3420403400 is about 58484.2149643816. The cubic root of 3420403400 is about 1506.6964898248.

Adding to 3420403400 its reverse (43040243), we get a palindrome (3463443643).

The spelling of 3420403400 in words is "three billion, four hundred twenty million, four hundred three thousand, four hundred".