3366666240 has 480 divisors, whose sum is σ = 13085829120. Its totient is φ = 721944576.

The previous prime is 3366666227. The next prime is 3366666269. The reversal of 3366666240 is 426666633.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3366666240² = 22668883143111475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3366666192 and 3366666201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32686029 + ... + 32686131.

It is an arithmetic number, because the mean of its divisors is an integer number (27262144).

Almost surely, 2^3366666240 is an apocalyptic number.

3366666240 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 3366666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6542914560).

3366666240 is an abundant number, since it is smaller than the sum of its proper divisors (9719162880).

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

3366666240 is a wasteful number, since it uses less digits than its factorization.

3366666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

The square root of 3366666240 is about 58022.9802750600. The cubic root of 3366666240 is about 1498.7643512832.

The spelling of 3366666240 in words is "three billion, three hundred sixty-six million, six hundred sixty-six thousand, two hundred forty".