3321434400 has 144 divisors (see below), whose sum is σ = 10833619104. Its totient is φ = 883886080.

The previous prime is 3321434359. The next prime is 3321434437. The reversal of 3321434400 is 44341233.

It is a super-2 number, since 2×3321434400² = 22063852947006720000, which contains 22 as substring.

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

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, 1479679 + ... + 1481921.

It is an arithmetic number, because the mean of its divisors is an integer number (75233466).

Almost surely, 2^3321434400 is an apocalyptic number.

3321434400 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 3321434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416809552).

3321434400 is an abundant number, since it is smaller than the sum of its proper divisors (7512184704).

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

3321434400 is a wasteful number, since it uses less digits than its factorization.

3321434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2870 counting only the distinct ones).

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

The square root of 3321434400 is about 57631.8870071074. The cubic root of 3321434400 is about 1492.0219984442.

Adding to 3321434400 its reverse (44341233), we get a palindrome (3365775633).

The spelling of 3321434400 in words is "three billion, three hundred twenty-one million, four hundred thirty-four thousand, four hundred".