3481470720 has 1008 divisors, whose sum is σ = 15763753152. Its totient is φ = 716636160.

The previous prime is 3481470709. The next prime is 3481470763. The reversal of 3481470720 is 270741843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 84913900 + ... + 84913940.

It is an arithmetic number, because the mean of its divisors is an integer number (15638644).

Almost surely, 2^3481470720 is an apocalyptic number.

3481470720 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 3481470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7881876576).

3481470720 is an abundant number, since it is smaller than the sum of its proper divisors (12282282432).

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

3481470720 is an equidigital number, since it uses as much as digits as its factorization.

3481470720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 3481470720 is about 59003.9890176927. The cubic root of 3481470720 is about 1515.6104196394.

The spelling of 3481470720 in words is "three billion, four hundred eighty-one million, four hundred seventy thousand, seven hundred twenty".