3221876400 has 60 divisors (see below), whose sum is σ = 10320747912. Its totient is φ = 859166720.

The previous prime is 3221876393. The next prime is 3221876401. The reversal of 3221876400 is 46781223.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×3221876400³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3221876401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1341249 + ... + 1343648.

Almost surely, 2^3221876400 is an apocalyptic number.

3221876400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3221876400 is an abundant number, since it is smaller than the sum of its proper divisors (7098871512).

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

3221876400 is a wasteful number, since it uses less digits than its factorization.

3221876400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684918 (or 2684907 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 3221876400 is about 56761.5750310014. The cubic root of 3221876400 is about 1476.9630321890.

The spelling of 3221876400 in words is "three billion, two hundred twenty-one million, eight hundred seventy-six thousand, four hundred".