3484855519488 has 1296 divisors, whose sum is σ = 12511210647936. Its totient is φ = 948109639680.

The previous prime is 3484855519463. The next prime is 3484855519489. The reversal of 3484855519488 is 8849155584843.

3484855519488 is a `hidden beast` number, since 3 + 4 + 8 + 4 + 85 + 55 + 19 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3484855519489) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30839429320 + ... + 30839429432.

Almost surely, 2^{3484855519488} 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 3484855519488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255605323968).

3484855519488 is an abundant number, since it is smaller than the sum of its proper divisors (9026355128448).

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

3484855519488 is an frugal number, since it uses more digits than its factorization.

3484855519488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 229 counting only the distinct ones).

The product of its digits is 884736000, while the sum is 72.

The spelling of 3484855519488 in words is "three trillion, four hundred eighty-four billion, eight hundred fifty-five million, five hundred nineteen thousand, four hundred eighty-eight".