3703407066667 has 32 divisors (see below), whose sum is σ = 4687795929600. Its totient is φ = 2841893233920.

The previous prime is 3703407066661. The next prime is 3703407066683. The reversal of 3703407066667 is 7666607043073.

3703407066667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3703407066667 - 2²⁷ = 3703272848939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3703407066661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1074709 + ... + 2926057.

It is an arithmetic number, because the mean of its divisors is an integer number (146493622800).

Almost surely, 2^{3703407066667} is an apocalyptic number.

3703407066667 is a deficient number, since it is larger than the sum of its proper divisors (984388862933).

3703407066667 is a wasteful number, since it uses less digits than its factorization.

3703407066667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851763.

The product of its (nonzero) digits is 16003008, while the sum is 55.

The spelling of 3703407066667 in words is "three trillion, seven hundred three billion, four hundred seven million, sixty-six thousand, six hundred sixty-seven".