3384955782 has 96 divisors (see below), whose sum is σ = 8632915200. Its totient is φ = 948602880.

The previous prime is 3384955781. The next prime is 3384955801. The reversal of 3384955782 is 2875594833.

3384955782 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 9 + 557 + 82 = 666.

It is a super-2 number, since 2×3384955782² = 22915851292190463048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384955781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109594 + ... + 137042.

It is an arithmetic number, because the mean of its divisors is an integer number (89926200).

Almost surely, 2^3384955782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3384955782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316457600).

3384955782 is an abundant number, since it is smaller than the sum of its proper divisors (5247959418).

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

3384955782 is a wasteful number, since it uses less digits than its factorization.

3384955782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27518 (or 27515 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 3384955782 is about 58180.3728245188. The cubic root of 3384955782 is about 1501.4734827584.

The spelling of 3384955782 in words is "three billion, three hundred eighty-four million, nine hundred fifty-five thousand, seven hundred eighty-two".