3281124461664 has 96 divisors (see below), whose sum is σ = 10182800113920. Its totient is φ = 905137777152.

The previous prime is 3281124461633. The next prime is 3281124461707. The reversal of 3281124461664 is 4661644211823.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 84163714 + ... + 84202689.

It is an arithmetic number, because the mean of its divisors is an integer number (106070834520).

Almost surely, 2^{3281124461664} is an apocalyptic number.

It is an amenable number.

3281124461664 is an abundant number, since it is smaller than the sum of its proper divisors (6901675652256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3281124461664 is a wasteful number, since it uses less digits than its factorization.

3281124461664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168366452 (or 168366444 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 3281124461664 in words is "three trillion, two hundred eighty-one billion, one hundred twenty-four million, four hundred sixty-one thousand, six hundred sixty-four".