3228590400 has 672 divisors, whose sum is σ = 12925958400. Its totient is φ = 704471040.

The previous prime is 3228590381. The next prime is 3228590401. The reversal of 3228590400 is 40958223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3228590401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60916774 + ... + 60916826.

Almost surely, 2^3228590400 is an apocalyptic number.

3228590400 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 3228590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462979200).

3228590400 is an abundant number, since it is smaller than the sum of its proper divisors (9697368000).

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

3228590400 is a wasteful number, since it uses less digits than its factorization.

3228590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3228590400 is about 56820.6863738903. The cubic root of 3228590400 is about 1477.9882576982.

The spelling of 3228590400 in words is "three billion, two hundred twenty-eight million, five hundred ninety thousand, four hundred".