3213907200 has 432 divisors, whose sum is σ = 13473720960. Its totient is φ = 734330880.

The previous prime is 3213907199. The next prime is 3213907201. The reversal of 3213907200 is 27093123.

It is an interprime number because it is at equal distance from previous prime (3213907199) and next prime (3213907201).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213907201) 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 47 ways as a sum of consecutive naturals, for example, 1208272 + ... + 1210928.

Almost surely, 2^3213907200 is an apocalyptic number.

3213907200 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 3213907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736860480).

3213907200 is an abundant number, since it is smaller than the sum of its proper divisors (10259813760).

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

3213907200 is a wasteful number, since it uses less digits than its factorization.

3213907200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3213907200 is about 56691.3326708766. The cubic root of 3213907200 is about 1475.7442877787.

The spelling of 3213907200 in words is "three billion, two hundred thirteen million, nine hundred seven thousand, two hundred".