3366912000 has 272 divisors, whose sum is σ = 11286785952. Its totient is φ = 891289600.

The previous prime is 3366911957. The next prime is 3366912013. The reversal of 3366912000 is 2196633.

It is a happy number.

It is a super-2 number, since 2×3366912000² = 22672192831488000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24575932 + ... + 24576068.

Almost surely, 2^3366912000 is an apocalyptic number.

3366912000 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 3366912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5643392976).

3366912000 is an abundant number, since it is smaller than the sum of its proper divisors (7919873952).

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

3366912000 is an frugal number, since it uses more digits than its factorization.

3366912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 3366912000 is about 58025.0980180129. The cubic root of 3366912000 is about 1498.8008193438.

The spelling of 3366912000 in words is "three billion, three hundred sixty-six million, nine hundred twelve thousand".