3481919840 has 192 divisors, whose sum is σ = 9694992384. Its totient is φ = 1156958208.

The previous prime is 3481919839. The next prime is 3481919867. The reversal of 3481919840 is 489191843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9487337 + ... + 9487703.

It is an arithmetic number, because the mean of its divisors is an integer number (50494752).

Almost surely, 2^3481919840 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 3481919840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4847496192).

3481919840 is an abundant number, since it is smaller than the sum of its proper divisors (6213072544).

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

3481919840 is a wasteful number, since it uses less digits than its factorization.

3481919840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 47.

The square root of 3481919840 is about 59007.7947393393. The cubic root of 3481919840 is about 1515.6755895765.

The spelling of 3481919840 in words is "three billion, four hundred eighty-one million, nine hundred nineteen thousand, eight hundred forty".