3434400 has 180 divisors, whose sum is σ = 12760902. Its totient is φ = 898560.

The previous prime is 3434399. The next prime is 3434407. The reversal of 3434400 is 44343.

It can be written as a sum of positive squares in 3 ways, for example, as 2862864 + 571536 = 1692^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3434407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64774 + ... + 64826.

Almost surely, 2^3434400 is an apocalyptic number.

3434400 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 3434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6380451).

3434400 is an abundant number, since it is smaller than the sum of its proper divisors (9326502).

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

3434400 is a wasteful number, since it uses less digits than its factorization.

3434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3434400 is about 1853.2134253777. The cubic root of 3434400 is about 150.8748872280.

Adding to 3434400 its reverse (44343), we get a palindrome (3478743).

The spelling of 3434400 in words is "three million, four hundred thirty-four thousand, four hundred".