3213434400 has 144 divisors (see below), whose sum is σ = 11410707168. Its totient is φ = 779008000.

The previous prime is 3213434383. The next prime is 3213434447. The reversal of 3213434400 is 44343123.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 34461 + ... + 87260.

It is an arithmetic number, because the mean of its divisors is an integer number (79241022).

Almost surely, 2^3213434400 is an apocalyptic number.

3213434400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3213434400 is an abundant number, since it is smaller than the sum of its proper divisors (8197272768).

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

3213434400 is a wasteful number, since it uses less digits than its factorization.

3213434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121755 (or 121742 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3213434400 is about 56687.1625679042. The cubic root of 3213434400 is about 1475.6719183259.

Adding to 3213434400 its reverse (44343123), we get a palindrome (3257777523).

The spelling of 3213434400 in words is "three billion, two hundred thirteen million, four hundred thirty-four thousand, four hundred".