3006978340 has 24 divisors (see below), whose sum is σ = 6349549752. Its totient is φ = 1196144640.

The previous prime is 3006978329. The next prime is 3006978383. The reversal of 3006978340 is 438796003.

3006978340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2184484 + 3004793856 = 1478^2 + 54816^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3006978293 and 3006978302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411709 + ... + 418948.

It is an arithmetic number, because the mean of its divisors is an integer number (264564573).

Almost surely, 2^3006978340 is an apocalyptic number.

It is an amenable number.

3006978340 is an abundant number, since it is smaller than the sum of its proper divisors (3342571412).

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

3006978340 is a wasteful number, since it uses less digits than its factorization.

3006978340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830847 (or 830845 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 3006978340 is about 54835.9219855014. The cubic root of 3006978340 is about 1443.3669829971.

The spelling of 3006978340 in words is "three billion, six million, nine hundred seventy-eight thousand, three hundred forty".