3729639686401 has 8 divisors (see below), whose sum is σ = 3736366881408. Its totient is φ = 3722918520000.

The previous prime is 3729639686371. The next prime is 3729639686431. The reversal of 3729639686401 is 1046869369273.

It is an interprime number because it is at equal distance from previous prime (3729639686371) and next prime (3729639686431).

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 3729639686401 - 2⁷ = 3729639686273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3729639686431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267805 + ... + 2744266.

It is an arithmetic number, because the mean of its divisors is an integer number (467045860176).

Almost surely, 2^{3729639686401} is an apocalyptic number.

It is an amenable number.

3729639686401 is a deficient number, since it is larger than the sum of its proper divisors (6727195007).

3729639686401 is a wasteful number, since it uses less digits than its factorization.

3729639686401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014303.

The product of its (nonzero) digits is 70543872, while the sum is 64.

The spelling of 3729639686401 in words is "three trillion, seven hundred twenty-nine billion, six hundred thirty-nine million, six hundred eighty-six thousand, four hundred one".