3726671642401 has 16 divisors (see below), whose sum is σ = 3864323504128. Its totient is φ = 3590140320000.

The previous prime is 3726671642191. The next prime is 3726671642413. The reversal of 3726671642401 is 1042461766273.

It is a cyclic number.

It is not a de Polignac number, because 3726671642401 - 2¹¹ = 3726671640353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3726671642431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7031245 + ... + 7542661.

It is an arithmetic number, because the mean of its divisors is an integer number (241520219008).

Almost surely, 2^{3726671642401} is an apocalyptic number.

3726671642401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3726671642401 is a deficient number, since it is larger than the sum of its proper divisors (137651861727).

3726671642401 is a wasteful number, since it uses less digits than its factorization.

3726671642401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512512.

The product of its (nonzero) digits is 2032128, while the sum is 49.

The spelling of 3726671642401 in words is "three trillion, seven hundred twenty-six billion, six hundred seventy-one million, six hundred forty-two thousand, four hundred one".