3729486959201 has 2 divisors, whose sum is σ = 3729486959202. Its totient is φ = 3729486959200.

The previous prime is 3729486959173. The next prime is 3729486959221. The reversal of 3729486959201 is 1029596849273.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2469301102801 + 1260185856400 = 1571401^2 + 1122580^2 .

It is a cyclic number.

It is not a de Polignac number, because 3729486959201 - 2²² = 3729482764897 is a prime.

It is not a weakly prime, because it can be changed into another prime (3729486959221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1864743479600 + 1864743479601.

It is an arithmetic number, because the mean of its divisors is an integer number (1864743479601).

It is a 1-persistent number, because it is pandigital, but 2⋅3729486959201 = 7458973918402 is not.

Almost surely, 2^{3729486959201} is an apocalyptic number.

It is an amenable number.

3729486959201 is a deficient number, since it is larger than the sum of its proper divisors (1).

3729486959201 is an equidigital number, since it uses as much as digits as its factorization.

3729486959201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58786560, while the sum is 65.

The spelling of 3729486959201 in words is "three trillion, seven hundred twenty-nine billion, four hundred eighty-six million, nine hundred fifty-nine thousand, two hundred one".