3213013200 has 120 divisors (see below), whose sum is σ = 10354628928. Its totient is φ = 851619840.

The previous prime is 3213013189. The next prime is 3213013231. The reversal of 3213013200 is 23103123.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3213013200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192384 + ... + 208416.

Almost surely, 2^3213013200 is an apocalyptic number.

3213013200 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 3213013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5177314464).

3213013200 is an abundant number, since it is smaller than the sum of its proper divisors (7141615728).

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

3213013200 is a wasteful number, since it uses less digits than its factorization.

3213013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16221 (or 16210 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3213013200 is about 56683.4473193012. The cubic root of 3213013200 is about 1475.6074410830.

Adding to 3213013200 its reverse (23103123), we get a palindrome (3236116323).

The spelling of 3213013200 in words is "three billion, two hundred thirteen million, thirteen thousand, two hundred".