3481875072 has 384 divisors, whose sum is σ = 11435424000. Its totient is φ = 1048080384.

The previous prime is 3481875041. The next prime is 3481875073. The reversal of 3481875072 is 2705781843.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (3481875073) 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 47 ways as a sum of consecutive naturals, for example, 31943754 + ... + 31943862.

It is an arithmetic number, because the mean of its divisors is an integer number (29779750).

Almost surely, 2^3481875072 is an apocalyptic number.

3481875072 is a gapful number since it is divisible by the number (32) 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 3481875072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717712000).

3481875072 is an abundant number, since it is smaller than the sum of its proper divisors (7953548928).

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

3481875072 is a wasteful number, since it uses less digits than its factorization.

3481875072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 3481875072 is about 59007.4153984056. The cubic root of 3481875072 is about 1515.6690937295.

The spelling of 3481875072 in words is "three billion, four hundred eighty-one million, eight hundred seventy-five thousand, seventy-two".