3481252320 has 192 divisors, whose sum is σ = 13496716800. Its totient is φ = 734496768.

The previous prime is 3481252319. The next prime is 3481252339. The reversal of 3481252320 is 232521843.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3831 + ... + 83529.

It is an arithmetic number, because the mean of its divisors is an integer number (70295400).

Almost surely, 2^3481252320 is an apocalyptic number.

3481252320 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 3481252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6748358400).

3481252320 is an abundant number, since it is smaller than the sum of its proper divisors (10015464480).

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

3481252320 is a wasteful number, since it uses less digits than its factorization.

3481252320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79737 (or 79729 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3481252320 is about 59002.1382663374. The cubic root of 3481252320 is about 1515.5787264974.

The spelling of 3481252320 in words is "three billion, four hundred eighty-one million, two hundred fifty-two thousand, three hundred twenty".