3366291456 has 144 divisors (see below), whose sum is σ = 10606967280. Its totient is φ = 1020026880.

The previous prime is 3366291403. The next prime is 3366291463. The reversal of 3366291456 is 6541926633.

3366291456 is a `hidden beast` number, since 3 + 3 + 6 + 629 + 14 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3366291456² = 22663836333477199872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194451 + ... + 211053.

It is an arithmetic number, because the mean of its divisors is an integer number (73659495).

Almost surely, 2^3366291456 is an apocalyptic number.

3366291456 is a gapful number since it is divisible by the number (36) 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 3366291456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303483640).

3366291456 is an abundant number, since it is smaller than the sum of its proper divisors (7240675824).

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

3366291456 is a wasteful number, since it uses less digits than its factorization.

3366291456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16642 (or 16619 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 3366291456 is about 58019.7505682332. The cubic root of 3366291456 is about 1498.7087340738.

The spelling of 3366291456 in words is "three billion, three hundred sixty-six million, two hundred ninety-one thousand, four hundred fifty-six".