3401600 has 48 divisors (see below), whose sum is σ = 8410920. Its totient is φ = 1359360.

The previous prime is 3401597. The next prime is 3401603. The reversal of 3401600 is 61043.

3401600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3401597) and next prime (3401603).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2669 + ... + 3731.

Almost surely, 2^3401600 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 3401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205460).

3401600 is an abundant number, since it is smaller than the sum of its proper divisors (5009320).

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

3401600 is a wasteful number, since it uses less digits than its factorization.

3401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3401600 is about 1844.3427013438. The cubic root of 3401600 is about 150.3930432877.

Adding to 3401600 its reverse (61043), we get a palindrome (3462643).

The spelling of 3401600 in words is "three million, four hundred one thousand, six hundred".