3481000000 has 147 divisors (see below), whose sum is σ = 8783227417. Its totient is φ = 1368800000.

The previous prime is 3480999967. The next prime is 3481000009. The reversal of 3481000000 is 1843.

The square root of 3481000000 is 59000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 3049690176 + 431309824 = 55224^2 + 20768^2 .

It is a super-2 number, since 2×3481000000² = 24234722000000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3481000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 58999971 + ... + 59000029.

Almost surely, 2^3481000000 is an apocalyptic number.

3481000000 is the 59000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3481000000

3481000000 is an abundant number, since it is smaller than the sum of its proper divisors (5302227417).

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

3481000000 is an frugal number, since it uses more digits than its factorization.

3481000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The cubic root of 3481000000 is about 1515.5421094002.

Multiplying 3481000000 by its sum of digits (16), we get a square (55696000000 = 236000²).

3481000000 divided by its sum of digits (16) gives a square (217562500 = 14750²).

Adding to 3481000000 its reverse (1843), we get a palindrome (3481001843).

The spelling of 3481000000 in words is "three billion, four hundred eighty-one million", and thus it is an aban number.