3228871403520 has 1536 divisors, whose sum is σ = 13616418816000. Its totient is φ = 719359377408.

The previous prime is 3228871403411. The next prime is 3228871403533. The reversal of 3228871403520 is 253041788223.

3228871403520 is a `hidden beast` number, since 3 + 2 + 2 + 8 + 87 + 1 + 40 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×3228871403520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6740858641 + ... + 6740859119.

It is an arithmetic number, because the mean of its divisors is an integer number (8864856000).

Almost surely, 2^{3228871403520} is an apocalyptic number.

3228871403520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3228871403520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6808209408000).

3228871403520 is an abundant number, since it is smaller than the sum of its proper divisors (10387547412480).

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

3228871403520 is an frugal number, since it uses more digits than its factorization.

3228871403520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 3228871403520 in words is "three trillion, two hundred twenty-eight billion, eight hundred seventy-one million, four hundred three thousand, five hundred twenty".