3482180100 has 243 divisors, whose sum is σ = 12742036671. Its totient is φ = 793094400.

The previous prime is 3482180063. The next prime is 3482180111. The reversal of 3482180100 is 10812843.

The square root of 3482180100 is 59010.

It is a perfect power (a square), and thus also a powerful number.

3482180100 is a `hidden beast` number, since 3 + 482 + 1 + 80 + 100 = 666.

3482180100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4955076 + 3477225024 = 2226^2 + 58968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12391960 + ... + 12392240.

Almost surely, 2^3482180100 is an apocalyptic number.

3482180100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3482180100 is the 59010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3482180100

3482180100 is an abundant number, since it is smaller than the sum of its proper divisors (9259856571).

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

3482180100 is a wasteful number, since it uses less digits than its factorization.

3482180100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The cubic root of 3482180100 is about 1515.7133522590.

Adding to 3482180100 its reverse (10812843), we get a palindrome (3492992943).

It can be divided in two parts, 34821 and 80100, that added together give a square (114921 = 339²).

The spelling of 3482180100 in words is "three billion, four hundred eighty-two million, one hundred eighty thousand, one hundred".