3001666440 has 64 divisors (see below), whose sum is σ = 9248391360. Its totient is φ = 778809600.

The previous prime is 3001666411. The next prime is 3001666453. The reversal of 3001666440 is 446661003.

3001666440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3001666398 and 3001666407.

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, 333586 + ... + 342465.

It is an arithmetic number, because the mean of its divisors is an integer number (144506115).

Almost surely, 2^3001666440 is an apocalyptic number.

3001666440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3001666440 is an abundant number, since it is smaller than the sum of its proper divisors (6246724920).

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

3001666440 is a wasteful number, since it uses less digits than its factorization.

3001666440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676102 (or 676098 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3001666440 is about 54787.4660848629. The cubic root of 3001666440 is about 1442.5165678067.

The spelling of 3001666440 in words is "three billion, one million, six hundred sixty-six thousand, four hundred forty".