3228269400 has 144 divisors (see below), whose sum is σ = 11479455000. Its totient is φ = 810224640.

The previous prime is 3228269371. The next prime is 3228269497. The reversal of 3228269400 is 49628223.

3228269400 is a `hidden beast` number, since 3 + 228 + 26 + 9 + 400 = 666.

3228269400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22150 + ... + 83349.

Almost surely, 2^3228269400 is an apocalyptic number.

3228269400 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 3228269400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739727500).

3228269400 is an abundant number, since it is smaller than the sum of its proper divisors (8251185600).

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

3228269400 is a wasteful number, since it uses less digits than its factorization.

3228269400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105538 (or 105526 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3228269400 is about 56817.8616281887. The cubic root of 3228269400 is about 1477.9392734774.

The spelling of 3228269400 in words is "three billion, two hundred twenty-eight million, two hundred sixty-nine thousand, four hundred".