3448576989000 has 2304 divisors, whose sum is σ = 14578938316800. Its totient is φ = 727833600000.

The previous prime is 3448576988993. The next prime is 3448576989017. The reversal of 3448576989000 is 9896758443.

3448576989000 is a `hidden beast` number, since 3 + 4 + 485 + 7 + 69 + 8 + 90 + 0 + 0 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×3448576989000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 31638320946 + ... + 31638321054.

It is an arithmetic number, because the mean of its divisors is an integer number (6327664200).

Almost surely, 2^{3448576989000} is an apocalyptic number.

3448576989000 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 3448576989000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7289469158400).

3448576989000 is an abundant number, since it is smaller than the sum of its proper divisors (11130361327800).

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

3448576989000 is a wasteful number, since it uses less digits than its factorization.

3448576989000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 3448576989000 in words is "three trillion, four hundred forty-eight billion, five hundred seventy-six million, nine hundred eighty-nine thousand".