3413100 has 72 divisors (see below), whose sum is σ = 10221568. Its totient is φ = 878400.

The previous prime is 3413099. The next prime is 3413101. The reversal of 3413100 is 13143.

It is an interprime number because it is at equal distance from previous prime (3413099) and next prime (3413101).

It is a super-2 number, since 2×3413100² = 23298503220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3413101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9117 + ... + 9483.

Almost surely, 2^3413100 is an apocalyptic number.

3413100 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 3413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110784).

3413100 is an abundant number, since it is smaller than the sum of its proper divisors (6808468).

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

3413100 is a wasteful number, since it uses less digits than its factorization.

3413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3413100 is about 1847.4577126419. The cubic root of 3413100 is about 150.5623336823.

Adding to 3413100 its reverse (13143), we get a palindrome (3426243).

The spelling of 3413100 in words is "three million, four hundred thirteen thousand, one hundred".