3342542400 has 252 divisors, whose sum is σ = 12007676772. Its totient is φ = 881786880.

The previous prime is 3342542393. The next prime is 3342542417. The reversal of 3342542400 is 42452433.

3342542400 is a `hidden beast` number, since 3 + 3 + 4 + 254 + 2 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 734193216 + 2608349184 = 27096^2 + 51072^2 .

It is a super-2 number, since 2×3342542400² = 22345179391595520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1395604 + ... + 1397996.

It is an arithmetic number, because the mean of its divisors is an integer number (47649511).

Almost surely, 2^3342542400 is an apocalyptic number.

3342542400 is a gapful number since it is divisible by the number (30) 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 3342542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6003838386).

3342542400 is an abundant number, since it is smaller than the sum of its proper divisors (8665134372).

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

3342542400 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (3342542399) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2500).

3342542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 3342542400 is about 57814.7247680035. The cubic root of 3342542400 is about 1495.1759691153.

Adding to 3342542400 its reverse (42452433), we get a palindrome (3384994833).

The spelling of 3342542400 in words is "three billion, three hundred forty-two million, five hundred forty-two thousand, four hundred".