3285406379761 has 27 divisors (see below), whose sum is σ = 3702380113579. Its totient is φ = 2913160896800.

The previous prime is 3285406379657. The next prime is 3285406379767. The reversal of 3285406379761 is 1679736045823.

It is a happy number.

The square root of 3285406379761 is 1812569.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 158309290161 + 3127097089600 = 397881^2 + 1768360^2 .

It is not a de Polignac number, because 3285406379761 - 2⁹ = 3285406379249 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3285406379761.

It is not an unprimeable number, because it can be changed into a prime (3285406379767) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 817466610 + ... + 817470628.

It is a 1-persistent number, because it is pandigital, but 2⋅3285406379761 = 6570812759522 is not.

Almost surely, 2^{3285406379761} is an apocalyptic number.

3285406379761 is the 1812569-th square number.

3285406379761 is the 906285-th centered octagonal number.

It is an amenable number.

3285406379761 is a deficient number, since it is larger than the sum of its proper divisors (416973733818).

3285406379761 is an frugal number, since it uses more digits than its factorization.

3285406379761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8142 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 61.

The spelling of 3285406379761 in words is "three trillion, two hundred eighty-five billion, four hundred six million, three hundred seventy-nine thousand, seven hundred sixty-one".