3480100 has 36 divisors (see below), whose sum is σ = 8135764. Its totient is φ = 1284480.

The previous prime is 3480073. The next prime is 3480101. The reversal of 3480100 is 10843.

It can be written as a sum of positive squares in 6 ways, for example, as 1313316 + 2166784 = 1146^2 + 1472^2 .

It is a super-2 number, since 2×3480100² = 24222192020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3480101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39 + ... + 2638.

Almost surely, 2^3480100 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 3480100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067882).

3480100 is an abundant number, since it is smaller than the sum of its proper divisors (4655664).

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

3480100 is a wasteful number, since it uses less digits than its factorization.

3480100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3480100 is about 1865.5026132386. The cubic root of 3480100 is about 151.5411485493.

Adding to 3480100 its reverse (10843), we get a palindrome (3490943).

The spelling of 3480100 in words is "three million, four hundred eighty thousand, one hundred".