3481525800 has 240 divisors, whose sum is σ = 12729393600. Its totient is φ = 879465600.

The previous prime is 3481525793. The next prime is 3481525807. The reversal of 3481525800 is 85251843.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3481525793) and next prime (3481525807).

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

It is not an unprimeable number, because it can be changed into a prime (3481525807) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 302145 + ... + 313455.

It is an arithmetic number, because the mean of its divisors is an integer number (53039140).

Almost surely, 2^3481525800 is an apocalyptic number.

3481525800 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 3481525800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364696800).

3481525800 is an abundant number, since it is smaller than the sum of its proper divisors (9247867800).

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

3481525800 is a wasteful number, since it uses less digits than its factorization.

3481525800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11358 (or 11340 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 3481525800 is about 59004.4557639506. The cubic root of 3481525800 is about 1515.6184123708.

The spelling of 3481525800 in words is "three billion, four hundred eighty-one million, five hundred twenty-five thousand, eight hundred".