3366464200 has 96 divisors (see below), whose sum is σ = 8604493920. Its totient is φ = 1214720000.

The previous prime is 3366464149. The next prime is 3366464201. The reversal of 3366464200 is 24646633.

It is a super-2 number, since 2×3366464200² = 22666162419763280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3366464201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282360 + ... + 294040.

It is an arithmetic number, because the mean of its divisors is an integer number (89630145).

Almost surely, 2^3366464200 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 3366464200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302246960).

3366464200 is an abundant number, since it is smaller than the sum of its proper divisors (5238029720).

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

3366464200 is a wasteful number, since it uses less digits than its factorization.

3366464200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11839 (or 11830 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

The square root of 3366464200 is about 58021.2392146186. The cubic root of 3366464200 is about 1498.7343694569.

The spelling of 3366464200 in words is "three billion, three hundred sixty-six million, four hundred sixty-four thousand, two hundred".