3366613600 has 144 divisors (see below), whose sum is σ = 9585324000. Its totient is φ = 1154173440.

The previous prime is 3366613571. The next prime is 3366613637. The reversal of 3366613600 is 63166633.

It is a super-2 number, since 2×3366613600² = 22668174263409920000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 268266 + ... + 280534.

It is an arithmetic number, because the mean of its divisors is an integer number (66564750).

Almost surely, 2^3366613600 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 3366613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792662000).

3366613600 is an abundant number, since it is smaller than the sum of its proper divisors (6218710400).

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

3366613600 is a wasteful number, since it uses less digits than its factorization.

3366613600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12310 (or 12283 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 34.

The square root of 3366613600 is about 58022.5266599103. The cubic root of 3366613600 is about 1498.7565398598.

The spelling of 3366613600 in words is "three billion, three hundred sixty-six million, six hundred thirteen thousand, six hundred".