3420322400 has 72 divisors (see below), whose sum is σ = 9108963864. Its totient is φ = 1243750400.

The previous prime is 3420322397. The next prime is 3420322403. The reversal of 3420322400 is 42230243.

It is an interprime number because it is at equal distance from previous prime (3420322397) and next prime (3420322403).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420322403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 185537 + ... + 203136.

It is an arithmetic number, because the mean of its divisors is an integer number (126513387).

Almost surely, 2^3420322400 is an apocalyptic number.

It is an amenable number.

3420322400 is an abundant number, since it is smaller than the sum of its proper divisors (5688641464).

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

3420322400 is a wasteful number, since it uses less digits than its factorization.

3420322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388704 (or 388691 counting only the distinct ones).

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

The square root of 3420322400 is about 58483.5224657339. The cubic root of 3420322400 is about 1506.6845961615.

Adding to 3420322400 its reverse (42230243), we get a palindrome (3462552643).

The spelling of 3420322400 in words is "three billion, four hundred twenty million, three hundred twenty-two thousand, four hundred".