3481219152 has 120 divisors (see below), whose sum is σ = 10135327488. Its totient is φ = 1114214400.

The previous prime is 3481219141. The next prime is 3481219169. The reversal of 3481219152 is 2519121843.

3481219152 is a `hidden beast` number, since 3 + 481 + 21 + 9 + 152 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581808 + ... + 587760.

Almost surely, 2^3481219152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3481219152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067663744).

3481219152 is an abundant number, since it is smaller than the sum of its proper divisors (6654108336).

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

3481219152 is a wasteful number, since it uses less digits than its factorization.

3481219152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6129 (or 6120 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 3481219152 is about 59001.8571911088. The cubic root of 3481219152 is about 1515.5739132032.

The spelling of 3481219152 in words is "three billion, four hundred eighty-one million, two hundred nineteen thousand, one hundred fifty-two".