3481228800 has 480 divisors, whose sum is σ = 14613350400. Its totient is φ = 795156480.

The previous prime is 3481228783. The next prime is 3481228831. The reversal of 3481228800 is 88221843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 2418481 + ... + 2419919.

It is an arithmetic number, because the mean of its divisors is an integer number (30444480).

Almost surely, 2^3481228800 is an apocalyptic number.

3481228800 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 3481228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7306675200).

3481228800 is an abundant number, since it is smaller than the sum of its proper divisors (11132121600).

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

3481228800 is a wasteful number, since it uses less digits than its factorization.

3481228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 3481228800 is about 59001.9389511904. The cubic root of 3481228800 is about 1515.5753133107.

The spelling of 3481228800 in words is "three billion, four hundred eighty-one million, two hundred twenty-eight thousand, eight hundred".