3402430400 has 84 divisors (see below), whose sum is σ = 8530282152. Its totient is φ = 1335260160.

The previous prime is 3402430397. The next prime is 3402430403. The reversal of 3402430400 is 40342043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3402430397) and next prime (3402430403).

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 (3402430403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 64739 + ... + 104861.

It is an arithmetic number, because the mean of its divisors is an integer number (101550978).

Almost surely, 2^3402430400 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 3402430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265141076).

3402430400 is an abundant number, since it is smaller than the sum of its proper divisors (5127851752).

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

3402430400 is a wasteful number, since it uses less digits than its factorization.

3402430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40198 (or 40183 counting only the distinct ones).

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

The square root of 3402430400 is about 58330.3557335287. The cubic root of 3402430400 is about 1504.0528029598.

Adding to 3402430400 its reverse (40342043), we get a palindrome (3442772443).

The spelling of 3402430400 in words is "three billion, four hundred two million, four hundred thirty thousand, four hundred".