3482870400 has 336 divisors, whose sum is σ = 12908406510. Its totient is φ = 928143360.

The previous prime is 3482870357. The next prime is 3482870459. The reversal of 3482870400 is 40782843.

It can be written as a sum of positive squares in 3 ways, for example, as 3129731136 + 353139264 = 55944^2 + 18792^2 .

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

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 2332054 + ... + 2333546.

Almost surely, 2^3482870400 is an apocalyptic number.

3482870400 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 3482870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454203255).

3482870400 is an abundant number, since it is smaller than the sum of its proper divisors (9425536110).

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

3482870400 is an equidigital number, since it uses as much as digits as its factorization.

3482870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3482870400 is about 59015.8487187976. The cubic root of 3482870400 is about 1515.8135029085.

The spelling of 3482870400 in words is "three billion, four hundred eighty-two million, eight hundred seventy thousand, four hundred".