3427488288000 has 432 divisors, whose sum is σ = 14094982626816. Its totient is φ = 783425433600.

The previous prime is 3427488287863. The next prime is 3427488288031. The reversal of 3427488288000 is 8828847243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1165929 + ... + 2866071.

Almost surely, 2^{3427488288000} is an apocalyptic number.

3427488288000 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 3427488288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7047491313408).

3427488288000 is an abundant number, since it is smaller than the sum of its proper divisors (10667494338816).

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

3427488288000 is a wasteful number, since it uses less digits than its factorization.

3427488288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700187 (or 1700160 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 3427488288000 in words is "three trillion, four hundred twenty-seven billion, four hundred eighty-eight million, two hundred eighty-eight thousand".