3402240302432 has 96 divisors (see below), whose sum is σ = 7122398949792. Its totient is φ = 1594244726784.

The previous prime is 3402240302413. The next prime is 3402240302437. The reversal of 3402240302432 is 2342030422043.

It is a happy number.

It is a super-2 number, since 2×3402240302432² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3402240302395 and 3402240302404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402240302437) 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 15 ways as a sum of consecutive naturals, for example, 123179888 + ... + 123207504.

It is an arithmetic number, because the mean of its divisors is an integer number (74191655727).

Almost surely, 2^{3402240302432} is an apocalyptic number.

3402240302432 is a gapful number since it is divisible by the number (32) 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 3402240302432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561199474896).

3402240302432 is an abundant number, since it is smaller than the sum of its proper divisors (3720158647360).

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

3402240302432 is a wasteful number, since it uses less digits than its factorization.

3402240302432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28600 (or 28592 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 3402240302432 its reverse (2342030422043), we get a palindrome (5744270724475).

The spelling of 3402240302432 in words is "three trillion, four hundred two billion, two hundred forty million, three hundred two thousand, four hundred thirty-two".