3342013200 has 90 divisors (see below), whose sum is σ = 11597726634. Its totient is φ = 891202560.

The previous prime is 3342013193. The next prime is 3342013237. The reversal of 3342013200 is 23102433.

3342013200 is a `hidden beast` number, since 3 + 342 + 0 + 1 + 320 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 50466816 + 3291546384 = 7104^2 + 57372^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×3342013200² = 22338104457948480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 460569 + ... + 467768.

Almost surely, 2^3342013200 is an apocalyptic number.

3342013200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3342013200 is an abundant number, since it is smaller than the sum of its proper divisors (8255713434).

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

3342013200 is a wasteful number, since it uses less digits than its factorization.

3342013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928361 (or 928347 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3342013200 is about 57810.1478980983. The cubic root of 3342013200 is about 1495.0970582356.

Adding to 3342013200 its reverse (23102433), we get a palindrome (3365115633).

The spelling of 3342013200 in words is "three billion, three hundred forty-two million, thirteen thousand, two hundred".