3366094680 has 288 divisors, whose sum is σ = 12053536560. Its totient is φ = 814095360.

The previous prime is 3366094637. The next prime is 3366094681. The reversal of 3366094680 is 864906633.

3366094680 is a `hidden beast` number, since 3 + 36 + 609 + 4 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×3366094680² = 22661186789448604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3366094681) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3710787 + ... + 3711693.

Almost surely, 2^3366094680 is an apocalyptic number.

3366094680 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 3366094680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026768280).

3366094680 is an abundant number, since it is smaller than the sum of its proper divisors (8687441880).

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

3366094680 is a wasteful number, since it uses less digits than its factorization.

3366094680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3366094680 is about 58018.0547760781. The cubic root of 3366094680 is about 1498.6795312493.

The spelling of 3366094680 in words is "three billion, three hundred sixty-six million, ninety-four thousand, six hundred eighty".