3005879040 has 432 divisors, whose sum is σ = 11326049280. Its totient is φ = 733224960.

The previous prime is 3005879033. The next prime is 3005879081. The reversal of 3005879040 is 409785003.

3005879040 is a `hidden beast` number, since 30 + 0 + 587 + 9 + 0 + 40 = 666.

It is a super-2 number, since 2×3005879040² = 18070617606222643200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3005878986 and 3005879004.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6785059 + ... + 6785501.

Almost surely, 2^3005879040 is an apocalyptic number.

3005879040 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 3005879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663024640).

3005879040 is an abundant number, since it is smaller than the sum of its proper divisors (8320170240).

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

3005879040 is a wasteful number, since it uses less digits than its factorization.

3005879040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3005879040 is about 54825.8975302730. The cubic root of 3005879040 is about 1443.1910714406.

The spelling of 3005879040 in words is "three billion, five million, eight hundred seventy-nine thousand, forty".