3219904554048 has 448 divisors, whose sum is σ = 12156918251520. Its totient is φ = 812282701824.

The previous prime is 3219904554043. The next prime is 3219904554067. The reversal of 3219904554048 is 8404554099123.

It is a happy number.

3219904554048 is a `hidden beast` number, since 3 + 2 + 1 + 9 + 90 + 4 + 5 + 540 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3219904553985 and 3219904554003.

It is not an unprimeable number, because it can be changed into a prime (3219904554043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3171561 + ... + 4061847.

It is an arithmetic number, because the mean of its divisors is an integer number (27135978240).

Almost surely, 2^{3219904554048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3219904554048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078459125760).

3219904554048 is an abundant number, since it is smaller than the sum of its proper divisors (8937013697472).

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

3219904554048 is a wasteful number, since it uses less digits than its factorization.

3219904554048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890351 (or 890335 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 3219904554048 in words is "three trillion, two hundred nineteen billion, nine hundred four million, five hundred fifty-four thousand, forty-eight".