3413600 has 72 divisors (see below), whose sum is σ = 8858808. Its totient is φ = 1280000.

The previous prime is 3413587. The next prime is 3413611. The reversal of 3413600 is 63143.

3413600 = T₄₃₁ + T₄₃₂ + ... + T₄₆₄.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13475 + ... + 13725.

It is an arithmetic number, because the mean of its divisors is an integer number (123039).

Almost surely, 2^3413600 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 3413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429404).

3413600 is an abundant number, since it is smaller than the sum of its proper divisors (5445208).

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

3413600 is a wasteful number, since it uses less digits than its factorization.

3413600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3413600 is about 1847.5930287810. The cubic root of 3413600 is about 150.5696855023.

Adding to 3413600 its reverse (63143), we get a palindrome (3476743).

It can be divided in two parts, 34 and 13600, that multiplied together give a square (462400 = 680²).

The spelling of 3413600 in words is "three million, four hundred thirteen thousand, six hundred".