3454400 has 84 divisors (see below), whose sum is σ = 9070848. Its totient is φ = 1290240.

The previous prime is 3454397. The next prime is 3454403. The reversal of 3454400 is 44543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3454397) and next prime (3454403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3454403) 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, 27137 + ... + 27263.

Almost surely, 2^3454400 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 3454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535424).

3454400 is an abundant number, since it is smaller than the sum of its proper divisors (5616448).

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

3454400 is a wasteful number, since it uses less digits than its factorization.

3454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 3454400 is about 1858.6016248782. The cubic root of 3454400 is about 151.1671905146.

Adding to 3454400 its reverse (44543), we get a palindrome (3498943).

It can be divided in two parts, 34 and 54400, that multiplied together give a square (1849600 = 1360²).

The spelling of 3454400 in words is "three million, four hundred fifty-four thousand, four hundred".