3481600000 has 204 divisors, whose sum is σ = 9215339868. Its totient is φ = 1310720000.

The previous prime is 3481599991. The next prime is 3481600009. The reversal of 3481600000 is 61843.

It is an interprime number because it is at equal distance from previous prime (3481599991) and next prime (3481600009).

It can be written as a sum of positive squares in 6 ways, for example, as 2441150464 + 1040449536 = 49408^2 + 32256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481600009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204799992 + ... + 204800008.

Almost surely, 2^3481600000 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 3481600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607669934).

3481600000 is an abundant number, since it is smaller than the sum of its proper divisors (5733739868).

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

3481600000 is an frugal number, since it uses more digits than its factorization.

3481600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 3481600000 is about 59005.0845266745. The cubic root of 3481600000 is about 1515.6291794975.

Adding to 3481600000 its reverse (61843), we get a palindrome (3481661843).

The spelling of 3481600000 in words is "three billion, four hundred eighty-one million, six hundred thousand".