3214220400 has 120 divisors (see below), whose sum is σ = 11440282160. Its totient is φ = 857122560.

The previous prime is 3214220371. The next prime is 3214220417. The reversal of 3214220400 is 40224123.

3214220400 is a `hidden beast` number, since 32 + 14 + 220 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138007 + ... + 159606.

Almost surely, 2^3214220400 is an apocalyptic number.

3214220400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3214220400 is an abundant number, since it is smaller than the sum of its proper divisors (8226061760).

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

3214220400 is a wasteful number, since it uses less digits than its factorization.

3214220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297640 (or 297623 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3214220400 is about 56694.0949306010. The cubic root of 3214220400 is about 1475.7922240412.

Adding to 3214220400 its reverse (40224123), we get a palindrome (3254444523).

The spelling of 3214220400 in words is "three billion, two hundred fourteen million, two hundred twenty thousand, four hundred".