3384654768 has 160 divisors (see below), whose sum is σ = 10631462400. Its totient is φ = 1022457600.

The previous prime is 3384654751. The next prime is 3384654799. The reversal of 3384654768 is 8674564833.

3384654768 is a `hidden beast` number, since 3 + 38 + 4 + 6 + 547 + 68 = 666.

It is a super-2 number, since 2×3384654768² = 22911775797090267648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1847613 + ... + 1849443.

It is an arithmetic number, because the mean of its divisors is an integer number (66446640).

Almost surely, 2^3384654768 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 3384654768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5315731200).

3384654768 is an abundant number, since it is smaller than the sum of its proper divisors (7246807632).

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

3384654768 is a wasteful number, since it uses less digits than its factorization.

3384654768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2236 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The square root of 3384654768 is about 58177.7858636782. The cubic root of 3384654768 is about 1501.4289742561.

The spelling of 3384654768 in words is "three billion, three hundred eighty-four million, six hundred fifty-four thousand, seven hundred sixty-eight".