3342042400 has 36 divisors (see below), whose sum is σ = 8158762962. Its totient is φ = 1336816640.

The previous prime is 3342042397. The next prime is 3342042401. The reversal of 3342042400 is 42402433.

It can be written as a sum of positive squares in 3 ways, for example, as 2138507536 + 1203534864 = 46244^2 + 34692^2 .

It is a super-2 number, since 2×3342042400² = 22338494806795520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3342042401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2087977 + ... + 2089576.

Almost surely, 2^3342042400 is an apocalyptic number.

It is an amenable number.

3342042400 is an abundant number, since it is smaller than the sum of its proper divisors (4816720562).

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

3342042400 is a wasteful number, since it uses less digits than its factorization.

3342042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177573 (or 4177560 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3342042400 is about 57810.4004483622. The cubic root of 3342042400 is about 1495.1014125678.

Adding to 3342042400 its reverse (42402433), we get a palindrome (3384444833).

The spelling of 3342042400 in words is "three billion, three hundred forty-two million, forty-two thousand, four hundred".