3413400 has 48 divisors (see below), whose sum is σ = 10583400. Its totient is φ = 910080.

The previous prime is 3413381. The next prime is 3413401. The reversal of 3413400 is 43143.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3413400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413401) 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, 2245 + ... + 3444.

Almost surely, 2^3413400 is an apocalyptic number.

3413400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3413400 is an abundant number, since it is smaller than the sum of its proper divisors (7170000).

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

3413400 is a wasteful number, since it uses less digits than its factorization.

3413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3413400 is about 1847.5389035146. The cubic root of 3413400 is about 150.5667448604.

Adding to 3413400 its reverse (43143), we get a palindrome (3456543).

It can be divided in two parts, 341 and 3400, that added together give a triangular number (3741 = T₈₆).

The spelling of 3413400 in words is "three million, four hundred thirteen thousand, four hundred".