3481367040 has 400 divisors, whose sum is σ = 12667457088. Its totient is φ = 913711104.

The previous prime is 3481366961. The next prime is 3481367041. The reversal of 3481367040 is 407631843.

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

It is a junction number, because it is equal to n+sod(n) for n = 3481366986 and 3481367004.

It is not an unprimeable number, because it can be changed into a prime (3481367041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21357999 + ... + 21358161.

Almost surely, 2^3481367040 is an apocalyptic number.

3481367040 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 3481367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6333728544).

3481367040 is an abundant number, since it is smaller than the sum of its proper divisors (9186090048).

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

3481367040 is a wasteful number, since it uses less digits than its factorization.

3481367040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3481367040 is about 59003.1104264851. The cubic root of 3481367040 is about 1515.5953742691.

Adding to 3481367040 its reverse (407631843), we get a palindrome (3888998883).

The spelling of 3481367040 in words is "three billion, four hundred eighty-one million, three hundred sixty-seven thousand, forty".