3213340400 has 60 divisors (see below), whose sum is σ = 7771322544. Its totient is φ = 1276800000.

The previous prime is 3213340399. The next prime is 3213340441. The reversal of 3213340400 is 40433123.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33800 + ... + 87000.

Almost surely, 2^3213340400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885661272).

3213340400 is an abundant number, since it is smaller than the sum of its proper divisors (4557982144).

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

3213340400 is a wasteful number, since it uses less digits than its factorization.

3213340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53370 (or 53359 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3213340400 is about 56686.3334499595. Note that the first 3 decimals coincide. The cubic root of 3213340400 is about 1475.6575293061.

Adding to 3213340400 its reverse (40433123), we get a palindrome (3253773523).

The spelling of 3213340400 in words is "three billion, two hundred thirteen million, three hundred forty thousand, four hundred".