3436128 has 96 divisors (see below), whose sum is σ = 10372320. Its totient is φ = 1105920.

The previous prime is 3436127. The next prime is 3436129. The reversal of 3436128 is 8216343.

It is a happy number.

3436128 is a `hidden beast` number, since 3 + 43 + 612 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3436127) and next prime (3436129).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3436127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35376 + ... + 35472.

It is an arithmetic number, because the mean of its divisors is an integer number (108045).

Almost surely, 2^3436128 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 3436128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186160).

3436128 is an abundant number, since it is smaller than the sum of its proper divisors (6936192).

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

3436128 is a wasteful number, since it uses less digits than its factorization.

3436128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3436128 is about 1853.6795839627. The cubic root of 3436128 is about 150.9001869496.

The spelling of 3436128 in words is "three million, four hundred thirty-six thousand, one hundred twenty-eight".