3214401400 has 48 divisors (see below), whose sum is σ = 8541127440. Its totient is φ = 1102080000.

The previous prime is 3214401391. The next prime is 3214401451. The reversal of 3214401400 is 41044123.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1146601 + ... + 1149400.

It is an arithmetic number, because the mean of its divisors is an integer number (177940155).

Almost surely, 2^3214401400 is an apocalyptic number.

It is an amenable number.

3214401400 is an abundant number, since it is smaller than the sum of its proper divisors (5326726040).

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

3214401400 is a wasteful number, since it uses less digits than its factorization.

3214401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296024 (or 2296015 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 3214401400 is about 56695.6911943051. The cubic root of 3214401400 is about 1475.8199252508.

Adding to 3214401400 its reverse (41044123), we get a palindrome (3255445523).

The spelling of 3214401400 in words is "three billion, two hundred fourteen million, four hundred one thousand, four hundred".