3384760806 has 48 divisors (see below), whose sum is σ = 8506427904. Its totient is φ = 952638192.

The previous prime is 3384760787. The next prime is 3384760807. The reversal of 3384760806 is 6080674833.

3384760806 is a `hidden beast` number, since 3 + 38 + 4 + 7 + 608 + 0 + 6 = 666.

It is a super-3 number, since 3×3384760806³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384760807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192030 + ... + 208913.

It is an arithmetic number, because the mean of its divisors is an integer number (177217248).

Almost surely, 2^3384760806 is an apocalyptic number.

3384760806 is an abundant number, since it is smaller than the sum of its proper divisors (5121667098).

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

3384760806 is a wasteful number, since it uses less digits than its factorization.

3384760806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401025 (or 401022 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3384760806 is about 58178.6971837631. The cubic root of 3384760806 is about 1501.4446535374. Note that the first 3 decimals are identical.

The spelling of 3384760806 in words is "three billion, three hundred eighty-four million, seven hundred sixty thousand, eight hundred six".