3366871200 has 432 divisors, whose sum is σ = 14804427456. Its totient is φ = 699494400.

The previous prime is 3366871111. The next prime is 3366871223. The reversal of 3366871200 is 21786633.

It is a happy number.

It is a super-2 number, since 2×3366871200² = 22671643354778880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 551364 + ... + 557436.

It is an arithmetic number, because the mean of its divisors is an integer number (34269508).

Almost surely, 2^3366871200 is an apocalyptic number.

3366871200 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 3366871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402213728).

3366871200 is an abundant number, since it is smaller than the sum of its proper divisors (11437556256).

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

3366871200 is a wasteful number, since it uses less digits than its factorization.

3366871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6117 (or 6101 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3366871200 is about 58024.7464449436. The cubic root of 3366871200 is about 1498.7947651987.

The spelling of 3366871200 in words is "three billion, three hundred sixty-six million, eight hundred seventy-one thousand, two hundred".