3436400 has 90 divisors (see below), whose sum is σ = 9202536. Its totient is φ = 1232000.

The previous prime is 3436399. The next prime is 3436403. The reversal of 3436400 is 46343.

It is a happy number.

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 (3436403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48365 + ... + 48435.

Almost surely, 2^3436400 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 3436400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601268).

3436400 is an abundant number, since it is smaller than the sum of its proper divisors (5766136).

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

3436400 is a wasteful number, since it uses less digits than its factorization.

3436400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3436400 is about 1853.7529500988. The cubic root of 3436400 is about 150.9041685405.

The spelling of 3436400 in words is "three million, four hundred thirty-six thousand, four hundred".