3366552000 has 448 divisors, whose sum is σ = 13161507840. Its totient is φ = 741888000.

The previous prime is 3366551989. The next prime is 3366552037. The reversal of 3366552000 is 2556633.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-4 number, since 4×3366552000⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4871655 + ... + 4872345.

Almost surely, 2^3366552000 is an apocalyptic number.

3366552000 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 3366552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580753920).

3366552000 is an abundant number, since it is smaller than the sum of its proper divisors (9794955840).

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

3366552000 is a wasteful number, since it uses less digits than its factorization.

3366552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 3366552000 is about 58021.9958291681. The cubic root of 3366552000 is about 1498.7473987290.

The spelling of 3366552000 in words is "three billion, three hundred sixty-six million, five hundred fifty-two thousand".