3384446976 has 195 divisors, whose sum is σ = 10211416633. Its totient is φ = 1116979200.

The previous prime is 3384446971. The next prime is 3384446977. The reversal of 3384446976 is 6796444833.

The square root of 3384446976 is 58176.

It is a perfect power (a square), and thus also a powerful number.

3384446976 is a `hidden beast` number, since 33 + 84 + 4 + 469 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3251736576 + 132710400 = 57024^2 + 11520^2 .

It is a super-2 number, since 2×3384446976² = 22908962666711089152, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3384446971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 33509326 + ... + 33509426.

Almost surely, 2^3384446976 is an apocalyptic number.

3384446976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3384446976 is the 58176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3384446976

3384446976 is an abundant number, since it is smaller than the sum of its proper divisors (6826969657).

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

3384446976 is an frugal number, since it uses more digits than its factorization.

3384446976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 106 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The cubic root of 3384446976 is about 1501.3982481963.

The spelling of 3384446976 in words is "three billion, three hundred eighty-four million, four hundred forty-six thousand, nine hundred seventy-six".