3006815040 has 112 divisors (see below), whose sum is σ = 10607405760. Its totient is φ = 801815040.

The previous prime is 3006815029. The next prime is 3006815059. The reversal of 3006815040 is 405186003.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 3006814995 and 3006815013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165366 + ... + 182645.

It is an arithmetic number, because the mean of its divisors is an integer number (94708980).

Almost surely, 2^3006815040 is an apocalyptic number.

3006815040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3006815040 is an abundant number, since it is smaller than the sum of its proper divisors (7600590720).

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

3006815040 is a wasteful number, since it uses less digits than its factorization.

3006815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348037 (or 348021 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3006815040 is about 54834.4329778288. The cubic root of 3006815040 is about 1443.3408542094.

The spelling of 3006815040 in words is "three billion, six million, eight hundred fifteen thousand, forty".