3481509960 has 96 divisors (see below), whose sum is σ = 11555706240. Its totient is φ = 908644992.

The previous prime is 3481509959. The next prime is 3481509961. The reversal of 3481509960 is 699051843.

It is a happy number.

3481509960 is a `hidden beast` number, since 3 + 4 + 81 + 509 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3481509959) and next prime (3481509961).

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 (3481509961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85962 + ... + 119801.

It is an arithmetic number, because the mean of its divisors is an integer number (120371940).

Almost surely, 2^3481509960 is an apocalyptic number.

3481509960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3481509960 is an abundant number, since it is smaller than the sum of its proper divisors (8074196280).

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

3481509960 is a wasteful number, since it uses less digits than its factorization.

3481509960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205827 (or 205820 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3481509960 is about 59004.3215366468. The cubic root of 3481509960 is about 1515.6161138162.

The spelling of 3481509960 in words is "three billion, four hundred eighty-one million, five hundred nine thousand, nine hundred sixty".