3340013200 has 60 divisors (see below), whose sum is σ = 8038484388. Its totient is φ = 1333657600.

The previous prime is 3340013197. The next prime is 3340013213. The reversal of 3340013200 is 23100433.

It can be written as a sum of positive squares in 6 ways, for example, as 31002624 + 3309010576 = 5568^2 + 57524^2 .

It is a super-2 number, since 2×3340013200² = 22311376352348480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 11 ways as a sum of consecutive naturals, for example, 230160 + ... + 244240.

Almost surely, 2^3340013200 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 3340013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019242194).

3340013200 is an abundant number, since it is smaller than the sum of its proper divisors (4698471188).

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

3340013200 is a wasteful number, since it uses less digits than its factorization.

3340013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14692 (or 14681 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3340013200 is about 57792.8473082959. The cubic root of 3340013200 is about 1494.7987559228.

Adding to 3340013200 its reverse (23100433), we get a palindrome (3363113633).

The spelling of 3340013200 in words is "three billion, three hundred forty million, thirteen thousand, two hundred".