3366316800 has 1296 divisors, whose sum is σ = 16180631040. Its totient is φ = 669081600.

The previous prime is 3366316799. The next prime is 3366316847. The reversal of 3366316800 is 86136633.

3366316800 is a `hidden beast` number, since 336 + 6 + 316 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×3366316800² = 22664177595924480000, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 146361589 + ... + 146361611.

Almost surely, 2^3366316800 is an apocalyptic number.

3366316800 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 3366316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090315520).

3366316800 is an abundant number, since it is smaller than the sum of its proper divisors (12814314240).

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

3366316800 is a wasteful number, since it uses less digits than its factorization.

3366316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3366316800 is about 58019.9689762068. The cubic root of 3366316800 is about 1498.7124952038.

It can be divided in two parts, 336 and 6316800, that added together give a palindrome (6317136).

The spelling of 3366316800 in words is "three billion, three hundred sixty-six million, three hundred sixteen thousand, eight hundred".