3688471083001 has 8 divisors (see below), whose sum is σ = 3739893532904. Its totient is φ = 3637072834560.

The previous prime is 3688471082987. The next prime is 3688471083023. The reversal of 3688471083001 is 1003801748863.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1217447424400 + 2471023658601 = 1103380^2 + 1571949^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3688471083001 - 2⁵ = 3688471082969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3688471083091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5743320 + ... + 6353161.

It is an arithmetic number, because the mean of its divisors is an integer number (467486691613).

Almost surely, 2^{3688471083001} is an apocalyptic number.

It is an amenable number.

3688471083001 is a deficient number, since it is larger than the sum of its proper divisors (51422449903).

3688471083001 is a wasteful number, since it uses less digits than its factorization.

3688471083001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12100731.

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 3688471083001 in words is "three trillion, six hundred eighty-eight billion, four hundred seventy-one million, eighty-three thousand, one".