3322232400 has 120 divisors (see below), whose sum is σ = 10662087424. Its totient is φ = 884275200.

The previous prime is 3322232399. The next prime is 3322232437. The reversal of 3322232400 is 42322233.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3322232400² = 22074456239219520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 726120 + ... + 730680.

Almost surely, 2^3322232400 is an apocalyptic number.

3322232400 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 3322232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331043712).

3322232400 is an abundant number, since it is smaller than the sum of its proper divisors (7339855024).

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

3322232400 is a wasteful number, since it uses less digits than its factorization.

3322232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 3322232400 is about 57638.8098419806. The cubic root of 3322232400 is about 1492.1414787722.

Adding to 3322232400 its reverse (42322233), we get a palindrome (3364554633).

The spelling of 3322232400 in words is "three billion, three hundred twenty-two million, two hundred thirty-two thousand, four hundred".