3481487460 has 384 divisors, whose sum is σ = 13063680000. Its totient is φ = 759306240.

The previous prime is 3481487441. The next prime is 3481487461. The reversal of 3481487460 is 647841843.

3481487460 is a `hidden beast` number, since 3 + 48 + 148 + 7 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3481487461) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2321791 + ... + 2323289.

It is an arithmetic number, because the mean of its divisors is an integer number (34020000).

Almost surely, 2^3481487460 is an apocalyptic number.

3481487460 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 3481487460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840000).

3481487460 is an abundant number, since it is smaller than the sum of its proper divisors (9582192540).

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

3481487460 is a wasteful number, since it uses less digits than its factorization.

3481487460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 3481487460 is about 59004.1308723381. The cubic root of 3481487460 is about 1515.6128488118.

The spelling of 3481487460 in words is "three billion, four hundred eighty-one million, four hundred eighty-seven thousand, four hundred sixty".