3006694080 has 280 divisors, whose sum is σ = 11519349072. Its totient is φ = 740026368.

The previous prime is 3006694073. The next prime is 3006694129. The reversal of 3006694080 is 804966003.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 332499 + ... + 341421.

Almost surely, 2^3006694080 is an apocalyptic number.

3006694080 is a gapful number since it is divisible by the number (30) 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 3006694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5759674536).

3006694080 is an abundant number, since it is smaller than the sum of its proper divisors (8512654992).

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

3006694080 is a wasteful number, since it uses less digits than its factorization.

3006694080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8965 (or 8946 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3006694080 is about 54833.3300101316. The cubic root of 3006694080 is about 1443.3214994161.

The spelling of 3006694080 in words is "three billion, six million, six hundred ninety-four thousand, eighty".