3481509024 has 72 divisors (see below), whose sum is σ = 11314910880. Its totient is φ = 994716288.

The previous prime is 3481509019. The next prime is 3481509029. The reversal of 3481509024 is 4209051843.

It is an interprime number because it is at equal distance from previous prime (3481509019) and next prime (3481509029).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3481509024.

It is not an unprimeable number, because it can be changed into a prime (3481509029) 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, 861454 + ... + 865485.

It is an arithmetic number, because the mean of its divisors is an integer number (157151540).

Almost surely, 2^3481509024 is an apocalyptic number.

It is an amenable number.

3481509024 is an abundant number, since it is smaller than the sum of its proper divisors (7833401856).

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

3481509024 is a wasteful number, since it uses less digits than its factorization.

3481509024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726962 (or 1726951 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3481509024 is about 59004.3136050238. The cubic root of 3481509024 is about 1515.6159779923.

The spelling of 3481509024 in words is "three billion, four hundred eighty-one million, five hundred nine thousand, twenty-four".